Analysis of biodiversity data

Setup

SAD curves

We can obtain the Species Abundance Distribution for our samples To use the library {sads}, and the example data on moth abundance.

data(moths)
moths
##   [1]    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1
##  [16]    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1
##  [31]    1    1    1    1    1    2    2    2    2    2    2    2    2    2    2
##  [46]    2    3    3    3    3    3    3    3    3    3    3    3    3    3    3
##  [61]    3    4    4    4    4    4    4    4    4    4    4    4    4    4    4
##  [76]    5    5    5    5    5    5    5    5    5    5    6    6    6    6    6
##  [91]    6    6    6    6    6    6    7    7    7    7    7    8    8    8    8
## [106]    8    8    9    9    9    9   10   10   10   10   11   11   12   12   13
## [121]   13   13   13   13   14   14   15   15   15   15   16   16   16   17   17
## [136]   17   18   18   18   19   19   19   20   20   20   20   21   22   22   22
## [151]   23   23   23   24   25   25   25   26   27   28   28   28   29   29   32
## [166]   34   34   36   36   36   37   37   43   43   44   44   45   49   49   49
## [181]   51   51   51   51   52   53   54   54   57   58   58   60   60   60   61
## [196]   64   67   73   76   76   78   84   89   96   99  109  112  120  122  129
## [211]  135  141  148  149  151  154  177  181  187  190  199  211  221  226  235
## [226]  239  244  246  282  305  306  333  464  560  572  589  604  743  823 2349
?moths

Preston plot

First, we are going to obtain the Preston plot, also known as octaves. This plot represents the number of species in classes of logarithm of abundances at base 2.

moths.oc <- octav(moths)
moths.oc
##    octave upper Freq
## 1       0     1   35
## 2       1     2   11
## 3       2     4   29
## 4       3     8   32
## 5       4    16   26
## 6       5    32   32
## 7       6    64   31
## 8       7   128   13
## 9       8   256   19
## 10      9   512    5
## 11     10  1024    6
## 12     11  2048    0
## 13     12  4096    1
## 14     13  8192    0
plot(moths.oc)

Whittaker diagram

We can also obtain the Whittaker plot for our data. This is the rank-abundance diagram

# for the moths data
moths.rad <- rad(moths)
plot(moths.rad, ylab="Number of individuals")

Species Abundance Distributions: fitting curves

We are going to fit some curves to the rank abundance plot

# build the model
moths.ge <- fitsad(x=moths, sad="geom") # geometric distribution
moths.ls <- fitsad(x=moths, sad="ls") # log series distribution
moths.ln <- fitsad(x=moths, sad="lnorm") #log-normal distribution

# get rank abundance objects
moths.ge.rad <- radpred(moths.ge)
moths.ls.rad <- radpred(moths.ls)
moths.ln.rad <- radpred(moths.ln)


# Plot the curves
plot(moths.ln.rad)

plot(moths.ln.rad, xlab = "Rank", ylab = "Abundance", log = "y",
     type = "l", col = "green", lty = 1, lwd = 6)

# We can superimpose the curve to the rank plot
plot(moths.rad)
lines(moths.ge.rad, col="red")
lines(moths.ls.rad, col="blue")
lines(moths.ln.rad, col="green")
legend("topright",c("Geometric", "Logseries", "lognormal"),lty=1, col=c("red", "blue", "green"))

## looking at the fits
logLik(moths.ge)
## 'log Lik.' -1240.137 (df=1)
logLik(moths.ls)
## 'log Lik.' -1087.713 (df=1)
logLik(moths.ln)
## 'log Lik.' -1097.723 (df=2)

Alpha diversity

Shannon index

Let us calculate Shannon index using example data from the power point

birds1 <- data.frame(Species = c('BlueTit', 'Robin', 'Magpie',
                                     'GreatTit'),
                         Abundance = rep(9, 4))
birds1
##    Species Abundance
## 1  BlueTit         9
## 2    Robin         9
## 3   Magpie         9
## 4 GreatTit         9
## now let us get the pi, ln(pi), N and S to calculate Shannon index
N <- sum(birds1$Abundance)
S <- nrow(birds1)

pi <- birds1$Abundance/N
lnpi <- log(pi)

H <- -sum(pi*lnpi)
H
## [1] 1.386294

Community structure: {vegan} package

vegdist() function allows calculating multiple community dissimilarity indices.

# 1. transpose the data
birds1.transpose <- as.data.frame(t(birds1[, -1]))
colnames(birds1.transpose) <- birds1$Species
birds1.transpose
##   BlueTit Robin Magpie GreatTit
## 1       9     9      9        9
# Get diversity value
?diversity
H_vegan <- diversity(birds1.transpose, index = "shannon")
H_vegan
## [1] 1.386294

Properties of Diversity indices

Shannon diversity vs Hill numbers

If we have two communities with no species in common, the diversity of both together should be the sum of the diversities of each one

# We create a second community with no species in common with the first one
birds2 <- data.frame(Species = c('Sparrow', 'Dove', 'Crow'),
                         Abundance = c(4,5,20))
birds2 
##   Species Abundance
## 1 Sparrow         4
## 2    Dove         5
## 3    Crow        20
# the transpose matrix for the analysis
birds2.transpose <- as.data.frame(t(birds2[, -1]))
colnames(birds2.transpose) <- birds2$Species
birds2.transpose
##   Sparrow Dove Crow
## 1       4    5   20
# Both communities in the same table 
# transpose data and get sums 

birds.both <- merge(birds1, birds2, by = 'Species', all = T)
birds.both$Abundance.x[is.na(birds.both$Abundance.x)] <- 0
birds.both$Abundance.y[is.na(birds.both$Abundance.y)] <- 0
birds.both
##    Species Abundance.x Abundance.y
## 1  BlueTit           9           0
## 2     Crow           0          20
## 3     Dove           0           5
## 4 GreatTit           9           0
## 5   Magpie           9           0
## 6    Robin           9           0
## 7  Sparrow           0           4
birds.all <- rowSums(birds.both[,2:3])
birds.all
## [1]  9 20  5  9  9  9  4
both.trans <- as.data.frame(t(birds.both[, -1]))

colnames(both.trans) <- birds.both$Species
rownames(both.trans) <- c("birds1", "birds2")
both.trans
##        BlueTit Crow Dove GreatTit Magpie Robin Sparrow
## birds1       9    0    0        9      9     9       0
## birds2       0   20    5        0      0     0       4
all.trans <- colSums(both.trans)

# shannon diversity for each sample and for the sum
H1 <- diversity(both.trans, index = "shannon")
H2 <- diversity(all.trans, index = "shannon")

H1
##    birds1    birds2 
## 1.3862944 0.8325713
H2
## [1] 1.826586
# Hill number order 1 (library iNEXT)
HN1.birds1 <- iNEXT(birds1$Abundance)
HN1.birds1$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness         4  4.000000 0.0000000  4.000000  4.000000
## Shannon diversity        4  4.174206 0.1489518  3.882266  4.466147
## Simpson diversity        4  4.375000 0.2690638  3.847645  4.902355
HN1.birds2 <- iNEXT(birds2$Abundance)
HN1.birds2$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness  3.000000  3.000000 0.2314500  2.546366  3.453634
## Shannon diversity 2.299223  2.383059 0.3436507  1.709516  3.056602
## Simpson diversity 1.907029  1.970874 0.3843317  1.217598  2.724150
HN1.birdsboth <- iNEXT(birds.all)
HN1.birdsboth$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness  7.000000  7.000000 0.1224634  6.759976  7.240024
## Shannon diversity 6.212639  6.513826 0.3997281  5.730374  7.297279
## Simpson diversity 5.522876  5.942857 0.6287382  4.710553  7.175161

Hill Numbers

Get the Hill Number with q = 0 (Species richness)

Load data from the library about spider samples in two locations

data(spider)
str(spider)
## List of 2
##  $ Girdled: num [1:26] 46 22 17 15 15 9 8 6 6 4 ...
##  $ Logged : num [1:37] 88 22 16 15 13 10 8 8 7 7 ...
?spider
example1 <- iNEXT(spider, q = 0, datatype = "abundance")

example1$DataInfo
##   Assemblage   n S.obs     SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1    Girdled 168    26 0.9289 12  4  0  1  0  2  0  1  1   0
## 2     Logged 252    37 0.9446 14  4  4  3  1  0  3  2  0   1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
example1$iNextEst
## $size_based
##    Assemblage   m        Method Order.q        qD    qD.LCL    qD.UCL        SC
## 1     Girdled   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1223268
## 2     Girdled  10   Rarefaction       0  6.478617  5.980650  6.976585 0.5969308
## 3     Girdled  19   Rarefaction       0  9.450323  8.514725 10.385920 0.7380651
## 4     Girdled  28   Rarefaction       0 11.514220 10.211570 12.816869 0.8034337
## 5     Girdled  37   Rarefaction       0 13.126817 11.505166 14.748469 0.8389628
## 6     Girdled  47   Rarefaction       0 14.622424 12.681183 16.563665 0.8623491
## 7     Girdled  56   Rarefaction       0 15.802849 13.592573 18.013124 0.8760357
## 8     Girdled  65   Rarefaction       0 16.877170 14.409143 19.345197 0.8858194
## 9     Girdled  74   Rarefaction       0 17.873934 15.156412 20.591457 0.8931774
## 10    Girdled  84   Rarefaction       0 18.912360 15.925296 21.899424 0.8995141
## 11    Girdled  93   Rarefaction       0 19.797701 16.573809 23.021592 0.9041168
## 12    Girdled 102   Rarefaction       0 20.644613 17.188563 24.100662 0.9080200
## 13    Girdled 111   Rarefaction       0 21.458439 17.774306 25.142572 0.9114464
## 14    Girdled 120   Rarefaction       0 22.242813 18.334171 26.151456 0.9145496
## 15    Girdled 130   Rarefaction       0 23.082755 18.928306 27.237204 0.9177469
## 16    Girdled 139   Rarefaction       0 23.812028 19.439166 28.184890 0.9204781
## 17    Girdled 148   Rarefaction       0 24.517097 19.928029 29.106165 0.9231226
## 18    Girdled 157   Rarefaction       0 25.198592 20.395046 30.002139 0.9257162
## 19    Girdled 167   Rarefaction       0 25.928571 20.888098 30.969045 0.9285714
## 20    Girdled 168      Observed       0 26.000000 20.935885 31.064115 0.9288554
## 21    Girdled 169 Extrapolation       0 26.071145 20.983389 31.158900 0.9291383
## 22    Girdled 177 Extrapolation       0 26.630211 21.353276 31.907147 0.9313612
## 23    Girdled 186 Extrapolation       0 27.238226 21.747942 32.728509 0.9337788
## 24    Girdled 195 Extrapolation       0 27.824825 22.120113 33.529536 0.9361112
## 25    Girdled 204 Extrapolation       0 28.390763 22.470109 34.311418 0.9383615
## 26    Girdled 212 Extrapolation       0 28.877064 22.762924 34.991203 0.9402951
## 27    Girdled 221 Extrapolation       0 29.405941 23.072198 35.739684 0.9423979
## 28    Girdled 230 Extrapolation       0 29.916190 23.360664 36.471716 0.9444268
## 29    Girdled 239 Extrapolation       0 30.408468 23.628917 37.188018 0.9463841
## 30    Girdled 248 Extrapolation       0 30.883406 23.877595 37.889218 0.9482726
## 31    Girdled 256 Extrapolation       0 31.291513 24.082751 38.500274 0.9498953
## 32    Girdled 265 Extrapolation       0 31.735349 24.296303 39.174396 0.9516600
## 33    Girdled 274 Extrapolation       0 32.163554 24.492271 39.834837 0.9533626
## 34    Girdled 283 Extrapolation       0 32.576676 24.671367 40.481985 0.9550052
## 35    Girdled 292 Extrapolation       0 32.975248 24.834302 41.116193 0.9565900
## 36    Girdled 300 Extrapolation       0 33.317733 24.966136 41.669329 0.9579518
## 37    Girdled 309 Extrapolation       0 33.690203 25.100461 42.279946 0.9594328
## 38    Girdled 318 Extrapolation       0 34.049555 25.220631 42.878479 0.9608616
## 39    Girdled 327 Extrapolation       0 34.396250 25.327311 43.465188 0.9622401
## 40    Girdled 336 Extrapolation       0 34.730733 25.421149 44.040318 0.9635701
## 41     Logged   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1445014
## 42     Logged  14   Rarefaction       0  8.353329  7.800665  8.905993 0.5883461
## 43     Logged  28   Rarefaction       0 13.222439 12.266176 14.178702 0.7118410
## 44     Logged  42   Rarefaction       0 16.765525 15.425927 18.105123 0.7809656
## 45     Logged  56   Rarefaction       0 19.532844 17.844726 21.220963 0.8236635
## 46     Logged  70   Rarefaction       0 21.804004 19.797001 23.811007 0.8521804
## 47     Logged  84   Rarefaction       0 23.734513 21.430161 26.038865 0.8724155
## 48     Logged  98   Rarefaction       0 25.418159 22.832582 28.003736 0.8874459
## 49     Logged 112   Rarefaction       0 26.915447 24.061560 29.769333 0.8990090
## 50     Logged 126   Rarefaction       0 28.267510 25.156160 31.378860 0.9081562
## 51     Logged 139   Rarefaction       0 29.418556 26.076453 32.760659 0.9150769
## 52     Logged 153   Rarefaction       0 30.565961 26.982970 34.148951 0.9212585
## 53     Logged 167   Rarefaction       0 31.633749 27.816406 35.451092 0.9264196
## 54     Logged 181   Rarefaction       0 32.634744 28.588165 36.681322 0.9307716
## 55     Logged 195   Rarefaction       0 33.579251 29.307098 37.851404 0.9344627
## 56     Logged 209   Rarefaction       0 34.475787 29.980225 38.971348 0.9376004
## 57     Logged 223   Rarefaction       0 35.331544 30.613203 40.049884 0.9402668
## 58     Logged 237   Rarefaction       0 36.152671 31.210604 41.094737 0.9425289
## 59     Logged 251   Rarefaction       0 36.944444 31.776081 42.112808 0.9444444
## 60     Logged 252      Observed       0 37.000000 31.815330 42.184670 0.9445706
## 61     Logged 253 Extrapolation       0 37.055429 31.854431 42.256428 0.9446965
## 62     Logged 266 Extrapolation       0 37.764657 32.349338 43.179976 0.9463075
## 63     Logged 279 Extrapolation       0 38.453226 32.819564 44.086887 0.9478715
## 64     Logged 292 Extrapolation       0 39.121736 33.265469 44.978004 0.9493900
## 65     Logged 305 Extrapolation       0 39.770774 33.687481 45.854067 0.9508643
## 66     Logged 319 Extrapolation       0 40.448609 34.115811 46.781407 0.9524039
## 67     Logged 332 Extrapolation       0 41.058995 34.489881 47.628109 0.9537904
## 68     Logged 345 Extrapolation       0 41.651601 34.841811 48.461391 0.9551365
## 69     Logged 358 Extrapolation       0 42.226944 35.172285 49.281604 0.9564433
## 70     Logged 371 Extrapolation       0 42.785528 35.482024 50.089032 0.9577121
## 71     Logged 385 Extrapolation       0 43.368897 35.793257 50.944536 0.9590372
## 72     Logged 398 Extrapolation       0 43.894216 36.062337 51.726095 0.9602304
## 73     Logged 411 Extrapolation       0 44.404233 36.313021 52.495445 0.9613889
## 74     Logged 424 Extrapolation       0 44.899393 36.546078 53.252708 0.9625136
## 75     Logged 437 Extrapolation       0 45.380130 36.762270 53.997990 0.9636056
## 76     Logged 451 Extrapolation       0 45.882197 36.977086 54.787309 0.9647460
## 77     Logged 464 Extrapolation       0 46.334305 37.160615 55.507995 0.9657729
## 78     Logged 477 Extrapolation       0 46.773243 37.329520 56.216966 0.9667699
## 79     Logged 490 Extrapolation       0 47.199395 37.484485 56.914306 0.9677379
## 80     Logged 504 Extrapolation       0 47.644456 37.636539 57.652374 0.9687488
##        SC.LCL    SC.UCL
## 1  0.08962193 0.1550316
## 2  0.53915427 0.6547074
## 3  0.68907798 0.7870523
## 4  0.76158579 0.8452817
## 5  0.80133386 0.8765918
## 6  0.82726659 0.8974317
## 7  0.84237373 0.9096977
## 8  0.85317496 0.9184638
## 9  0.86129340 0.9250615
## 10 0.86825629 0.9307718
## 11 0.87327628 0.9349572
## 12 0.87749317 0.9385468
## 13 0.88115181 0.9417410
## 14 0.88441757 0.9446817
## 15 0.88771741 0.9477765
## 16 0.89046760 0.9504886
## 17 0.89305546 0.9531898
## 18 0.89550956 0.9559229
## 19 0.89810434 0.9590385
## 20 0.89835469 0.9593562
## 21 0.89860337 0.9596733
## 22 0.90053830 0.9621842
## 23 0.90261690 0.9649407
## 24 0.90461327 0.9676091
## 25 0.90654413 0.9701788
## 26 0.90821529 0.9723748
## 27 0.91005250 0.9747434
## 28 0.91185035 0.9770032
## 29 0.91361318 0.9791551
## 30 0.91534390 0.9812012
## 31 0.91685694 0.9829336
## 32 0.91853166 0.9847884
## 33 0.92017801 0.9865472
## 34 0.92179639 0.9882141
## 35 0.92338693 0.9897931
## 36 0.92477738 0.9911262
## 37 0.92631528 0.9925503
## 38 0.92782518 0.9938981
## 39 0.92930694 0.9951733
## 40 0.93076048 0.9963797
## 41 0.10601002 0.1829927
## 42 0.55197972 0.6247124
## 43 0.67792992 0.7457521
## 44 0.75062744 0.8113037
## 45 0.79583210 0.8514949
## 46 0.82609543 0.8782654
## 47 0.84773542 0.8970957
## 48 0.86398086 0.9109109
## 49 0.87659698 0.9214209
## 50 0.88663099 0.9296814
## 51 0.89422100 0.9359328
## 52 0.90095507 0.9415619
## 53 0.90649482 0.9463444
## 54 0.91105428 0.9504890
## 55 0.91478608 0.9541394
## 56 0.91780398 0.9573969
## 57 0.92019820 0.9603355
## 58 0.92204510 0.9630126
## 59 0.92341223 0.9654767
## 60 0.92349498 0.9656463
## 61 0.92357744 0.9658156
## 62 0.92462710 0.9679879
## 63 0.92564905 0.9700940
## 64 0.92665772 0.9721223
## 65 0.92766235 0.9740662
## 66 0.92874607 0.9760618
## 67 0.92975726 0.9778235
## 68 0.93077443 0.9794985
## 69 0.93179768 0.9810889
## 70 0.93282640 0.9825978
## 71 0.93393909 0.9841353
## 72 0.93497533 0.9854855
## 73 0.93601294 0.9867648
## 74 0.93705033 0.9879769
## 75 0.93808595 0.9891252
## 76 0.93919752 0.9902944
## 77 0.94022475 0.9913211
## 78 0.94124584 0.9922940
## 79 0.94225958 0.9932163
## 80 0.94334179 0.9941559
## 
## $coverage_based
##    Assemblage        SC   m        Method Order.q        qD     qD.LCL
## 1     Girdled 0.1223268   1   Rarefaction       0  1.000000  0.8500318
## 2     Girdled 0.5969305  10   Rarefaction       0  6.478611  5.0700192
## 3     Girdled 0.7380650  19   Rarefaction       0  9.450319  7.3749379
## 4     Girdled 0.8034337  28   Rarefaction       0 11.514219  8.8846781
## 5     Girdled 0.8389628  37   Rarefaction       0 13.126816  9.9535223
## 6     Girdled 0.8623492  47   Rarefaction       0 14.622425 10.8077387
## 7     Girdled 0.8760358  56   Rarefaction       0 15.802851 11.3833870
## 8     Girdled 0.8858194  65   Rarefaction       0 16.877170 11.8477522
## 9     Girdled 0.8931774  74   Rarefaction       0 17.873934 12.2423897
## 10    Girdled 0.8995141  84   Rarefaction       0 18.912361 12.6132022
## 11    Girdled 0.9041168  93   Rarefaction       0 19.797701 12.8657609
## 12    Girdled 0.9080200 102   Rarefaction       0 20.644611 13.0303640
## 13    Girdled 0.9114464 111   Rarefaction       0 21.458439 13.0990699
## 14    Girdled 0.9145496 120   Rarefaction       0 22.242813 13.0740912
## 15    Girdled 0.9177469 130   Rarefaction       0 23.082756 13.0283066
## 16    Girdled 0.9204781 139   Rarefaction       0 23.812027 12.9677808
## 17    Girdled 0.9231226 148   Rarefaction       0 24.517096 12.8859308
## 18    Girdled 0.9257162 157   Rarefaction       0 25.198591 12.7802226
## 19    Girdled 0.9285714 166   Rarefaction       0 25.867399 12.5708246
## 20    Girdled 0.9288554 168      Observed       0 26.000000 12.6171713
## 21    Girdled 0.9291383 169 Extrapolation       0 26.071145 12.5959007
## 22    Girdled 0.9313612 177 Extrapolation       0 26.630211 12.4598142
## 23    Girdled 0.9337788 186 Extrapolation       0 27.238226 12.3056808
## 24    Girdled 0.9361112 195 Extrapolation       0 27.824825 12.1510558
## 25    Girdled 0.9383615 204 Extrapolation       0 28.390763 11.9968014
## 26    Girdled 0.9402951 212 Extrapolation       0 28.877064 11.8611664
## 27    Girdled 0.9423979 221 Extrapolation       0 29.405941 11.7103885
## 28    Girdled 0.9444268 230 Extrapolation       0 29.916190 11.5612114
## 29    Girdled 0.9463841 239 Extrapolation       0 30.408468 11.4131183
## 30    Girdled 0.9482726 248 Extrapolation       0 30.883406 11.2715671
## 31    Girdled 0.9498953 256 Extrapolation       0 31.291513 11.1474359
## 32    Girdled 0.9516600 265 Extrapolation       0 31.735349 11.0163799
## 33    Girdled 0.9533626 274 Extrapolation       0 32.163554 10.9086999
## 34    Girdled 0.9550052 283 Extrapolation       0 32.576676 10.7812090
## 35    Girdled 0.9565900 292 Extrapolation       0 32.975248 10.6527326
## 36    Girdled 0.9579518 300 Extrapolation       0 33.317733 10.5380069
## 37    Girdled 0.9594328 309 Extrapolation       0 33.690203 10.4099278
## 38    Girdled 0.9608616 318 Extrapolation       0 34.049555 10.2825440
## 39    Girdled 0.9622401 327 Extrapolation       0 34.396250 10.1565957
## 40    Girdled 0.9635701 336 Extrapolation       0 34.730733 10.0324452
## 41     Logged 0.1445014   1   Rarefaction       0  1.000000  0.8394948
## 42     Logged 0.5883460  14   Rarefaction       0  8.353325  6.7553127
## 43     Logged 0.7118410  28   Rarefaction       0 13.222439 10.9641118
## 44     Logged 0.7809655  42   Rarefaction       0 16.765522 13.8980209
## 45     Logged 0.8236635  56   Rarefaction       0 19.532847 16.0797695
## 46     Logged 0.8521804  70   Rarefaction       0 21.804005 17.7850317
## 47     Logged 0.8724155  84   Rarefaction       0 23.734512 19.1809698
## 48     Logged 0.8874459  98   Rarefaction       0 25.418157 20.3674222
## 49     Logged 0.8990090 112   Rarefaction       0 26.915446 21.4004182
## 50     Logged 0.9081562 126   Rarefaction       0 28.267511 22.3078794
## 51     Logged 0.9150769 139   Rarefaction       0 29.418557 23.0390516
## 52     Logged 0.9212585 153   Rarefaction       0 30.565959 23.6619019
## 53     Logged 0.9264196 167   Rarefaction       0 31.633750 23.9612548
## 54     Logged 0.9307716 181   Rarefaction       0 32.634745 24.0424262
## 55     Logged 0.9344627 195   Rarefaction       0 33.579250 24.0245061
## 56     Logged 0.9376004 209   Rarefaction       0 34.475786 23.9547269
## 57     Logged 0.9402668 223   Rarefaction       0 35.331543 23.8104906
## 58     Logged 0.9425289 237   Rarefaction       0 36.152671 23.6886411
## 59     Logged 0.9444444 250   Rarefaction       0 36.892629 23.5841318
## 60     Logged 0.9445706 252      Observed       0 37.000000 23.6365835
## 61     Logged 0.9446965 253 Extrapolation       0 37.055429 23.6329084
## 62     Logged 0.9463075 266 Extrapolation       0 37.764657 23.6032756
## 63     Logged 0.9478715 279 Extrapolation       0 38.453226 23.5582481
## 64     Logged 0.9493900 292 Extrapolation       0 39.121736 23.5029145
## 65     Logged 0.9508643 305 Extrapolation       0 39.770774 23.4412447
## 66     Logged 0.9524039 319 Extrapolation       0 40.448609 23.3692544
## 67     Logged 0.9537904 332 Extrapolation       0 41.058995 23.3048042
## 68     Logged 0.9551365 345 Extrapolation       0 41.651601 23.2306076
## 69     Logged 0.9564433 358 Extrapolation       0 42.226944 23.1456322
## 70     Logged 0.9577121 371 Extrapolation       0 42.785528 23.0715471
## 71     Logged 0.9590372 385 Extrapolation       0 43.368897 22.9807351
## 72     Logged 0.9602304 398 Extrapolation       0 43.894216 22.8941139
## 73     Logged 0.9613889 411 Extrapolation       0 44.404233 22.8076986
## 74     Logged 0.9625136 424 Extrapolation       0 44.899393 22.7183853
## 75     Logged 0.9636056 437 Extrapolation       0 45.380130 22.6277502
## 76     Logged 0.9647460 451 Extrapolation       0 45.882197 22.5294489
## 77     Logged 0.9657729 464 Extrapolation       0 46.334305 22.4371179
## 78     Logged 0.9667699 477 Extrapolation       0 46.773243 22.3440283
## 79     Logged 0.9677379 490 Extrapolation       0 47.199395 22.2505833
## 80     Logged 0.9687488 504 Extrapolation       0 47.644456 22.1499537
##       qD.UCL
## 1   1.149968
## 2   7.887204
## 3  11.525699
## 4  14.143760
## 5  16.300110
## 6  18.437112
## 7  20.222315
## 8  21.906587
## 9  23.505479
## 10 25.211521
## 11 26.729642
## 12 28.258858
## 13 29.817808
## 14 31.411536
## 15 33.137206
## 16 34.656273
## 17 36.148261
## 18 37.616959
## 19 39.163974
## 20 39.382829
## 21 39.546388
## 22 40.800608
## 23 42.170770
## 24 43.498594
## 25 44.784725
## 26 45.892961
## 27 47.101493
## 28 48.271168
## 29 49.403817
## 30 50.495246
## 31 51.435589
## 32 52.454319
## 33 53.418408
## 34 54.372143
## 35 55.297763
## 36 56.097459
## 37 56.970479
## 38 57.816566
## 39 58.635904
## 40 59.429022
## 41  1.160505
## 42  9.951337
## 43 15.480767
## 44 19.633022
## 45 22.985925
## 46 25.822979
## 47 28.288054
## 48 30.468892
## 49 32.430474
## 50 34.227142
## 51 35.798062
## 52 37.470016
## 53 39.306245
## 54 41.227063
## 55 43.133994
## 56 44.996844
## 57 46.852596
## 58 48.616700
## 59 50.201126
## 60 50.363416
## 61 50.477950
## 62 51.926039
## 63 53.348203
## 64 54.740558
## 65 56.100302
## 66 57.527964
## 67 58.813186
## 68 60.072594
## 69 61.308256
## 70 62.499509
## 71 63.757058
## 72 64.894318
## 73 66.000767
## 74 67.080401
## 75 68.132510
## 76 69.234945
## 77 70.231492
## 78 71.202458
## 79 72.148207
## 80 73.138959
# show asymptotic estimates
example1$AsyEst
##   Assemblage         Diversity  Observed Estimator       s.e.       LCL
## 1    Girdled  Species richness 26.000000 43.892857 30.5007636 26.000000
## 2    Girdled Shannon diversity 12.059650 13.826253  1.4061437 11.070262
## 3    Girdled Simpson diversity  7.840000  8.174825  0.8923487  6.425854
## 4     Logged  Species richness 37.000000 61.402778 24.8546710 37.000000
## 5     Logged Shannon diversity 14.421002 16.337069  1.7083806 12.988704
## 6     Logged Simpson diversity  6.761499  6.920350  0.8779039  5.199690
##          UCL
## 1 103.673255
## 2  16.582244
## 3   9.923797
## 4 110.117038
## 5  19.685433
## 6   8.641010

Rarefaction/extrapolation

Get new values

We can specify the sample size for which we want to rarefy/extrapolate For Species richness, the extrapolation is reliable up to double the reference sample. For q = 1 or 2, the extrapolation can be extended to the asymptote.

We run the code simultaneously for the three Hill numbers:

# We define the number of samples size that we want to use for estimation
m <- c(1, 50, 100, 200, 400)
example2 <- iNEXT(spider, q = c(0,1,2), datatype = "abundance", size = m)
example2$iNextEst 
## $size_based
##    Assemblage   m        Method Order.q        qD    qD.LCL    qD.UCL        SC
## 1     Girdled   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1223268
## 2     Girdled  50   Rarefaction       0 15.030098 13.246432 16.813765 0.8674807
## 3     Girdled 100   Rarefaction       0 20.459426 17.395976 23.522876 0.9072004
## 4     Girdled 167   Rarefaction       0 25.928571 21.469467 30.387676 0.9285714
## 5     Girdled 168      Observed       0 26.000000 21.519907 30.480093 0.9288554
## 6     Girdled 169 Extrapolation       0 26.071145 21.570004 30.572285 0.9291383
## 7     Girdled 200 Extrapolation       0 28.141739 22.950764 33.332713 0.9373713
## 8     Girdled 400 Extrapolation       0 36.792837 25.611453 47.974222 0.9717693
## 9     Girdled   1   Rarefaction       1  1.000000  1.000000  1.000000 0.1223268
## 10    Girdled  50   Rarefaction       1  9.939329  8.490555 11.388103 0.8674807
## 11    Girdled 100   Rarefaction       1 11.266546  9.464342 13.068751 0.9072004
## 12    Girdled 167   Rarefaction       1 12.051422 10.031158 14.071686 0.9285714
## 13    Girdled 168      Observed       1 12.059650 10.037144 14.082157 0.9288554
## 14    Girdled 169 Extrapolation       1 12.067840 10.043102 14.092579 0.9291383
## 15    Girdled 200 Extrapolation       1 12.303742 10.214908 14.392576 0.9373713
## 16    Girdled 400 Extrapolation       1 13.225154 10.875620 15.574688 0.9717693
## 17    Girdled   1   Rarefaction       2  1.000000  1.000000  1.000000 0.1223268
## 18    Girdled  50   Rarefaction       2  7.148973  5.818385  8.479560 0.8674807
## 19    Girdled 100   Rarefaction       2  7.627561  6.105150  9.149972 0.9072004
## 20    Girdled 167   Rarefaction       2  7.838078  6.227365  9.448790 0.9285714
## 21    Girdled 168      Observed       2  7.840000  6.228470  9.451530 0.9288554
## 22    Girdled 169 Extrapolation       2  7.841901  6.229562  9.454239 0.9291383
## 23    Girdled 200 Extrapolation       2  7.891717  6.258121  9.525312 0.9373713
## 24    Girdled 400 Extrapolation       2  8.030777  6.337132  9.724421 0.9717693
## 25     Logged   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1445014
## 26     Logged  50   Rarefaction       0 18.420022 16.861208 19.978836 0.8076088
## 27     Logged 100   Rarefaction       0 25.642342 22.716162 28.568521 0.8892800
## 28     Logged 200   Rarefaction       0 33.904551 28.227002 39.582100 0.9356422
## 29     Logged 251   Rarefaction       0 36.944444 30.009496 43.879393 0.9444444
## 30     Logged 252      Observed       0 37.000000 30.041241 43.958759 0.9445706
## 31     Logged 253 Extrapolation       0 37.055429 30.072885 44.037974 0.9446965
## 32     Logged 400 Extrapolation       0 43.973665 33.672201 54.275129 0.9604109
## 33     Logged   1   Rarefaction       1  1.000000  1.000000  1.000000 0.1445014
## 34     Logged  50   Rarefaction       1 10.747324  9.041503 12.453145 0.8076088
## 35     Logged 100   Rarefaction       1 12.648884 10.497810 14.799958 0.8892800
## 36     Logged 200   Rarefaction       1 14.053826 11.516492 16.591160 0.9356422
## 37     Logged 251   Rarefaction       1 14.415055 11.764026 17.066084 0.9444444
## 38     Logged 252      Observed       1 14.421002 11.768043 17.073960 0.9445706
## 39     Logged 253 Extrapolation       1 14.426930 11.772046 17.081813 0.9446965
## 40     Logged 400 Extrapolation       1 15.125810 12.236196 18.015425 0.9604109
## 41     Logged   1   Rarefaction       2  1.000000  1.000000  1.000000 0.1445014
## 42     Logged  50   Rarefaction       2  6.187685  4.679267  7.696103 0.8076088
## 43     Logged 100   Rarefaction       2  6.533542  4.814394  8.252689 0.8892800
## 44     Logged 200   Rarefaction       2  6.721385  4.880071  8.562700 0.9356422
## 45     Logged 251   Rarefaction       2  6.760881  4.893159  8.628603 0.9444444
## 46     Logged 252      Observed       2  6.761499  4.893362  8.629637 0.9445706
## 47     Logged 253 Extrapolation       2  6.762113  4.893563  8.630662 0.9446965
## 48     Logged 400 Extrapolation       2  6.819417  4.912085  8.726748 0.9604109
##        SC.LCL    SC.UCL
## 1  0.09287958 0.1517740
## 2  0.83413790 0.9008234
## 3  0.88025478 0.9341460
## 4  0.89783656 0.9593063
## 5  0.89800116 0.9597097
## 6  0.89816526 0.9601114
## 7  0.90319112 0.9715515
## 8  0.93478295 1.0000000
## 9  0.09287958 0.1517740
## 10 0.83413790 0.9008234
## 11 0.88025478 0.9341460
## 12 0.89783656 0.9593063
## 13 0.89800116 0.9597097
## 14 0.89816526 0.9601114
## 15 0.90319112 0.9715515
## 16 0.93478295 1.0000000
## 17 0.09287958 0.1517740
## 18 0.83413790 0.9008234
## 19 0.88025478 0.9341460
## 20 0.89783656 0.9593063
## 21 0.89800116 0.9597097
## 22 0.89816526 0.9601114
## 23 0.90319112 0.9715515
## 24 0.93478295 1.0000000
## 25 0.10701383 0.1819889
## 26 0.77561111 0.8396065
## 27 0.85695509 0.9216049
## 28 0.90690965 0.9643747
## 29 0.91634417 0.9725447
## 30 0.91646780 0.9726735
## 31 0.91659102 0.9728021
## 32 0.93241296 0.9884088
## 33 0.10701383 0.1819889
## 34 0.77561111 0.8396065
## 35 0.85695509 0.9216049
## 36 0.90690965 0.9643747
## 37 0.91634417 0.9725447
## 38 0.91646780 0.9726735
## 39 0.91659102 0.9728021
## 40 0.93241296 0.9884088
## 41 0.10701383 0.1819889
## 42 0.77561111 0.8396065
## 43 0.85695509 0.9216049
## 44 0.90690965 0.9643747
## 45 0.91634417 0.9725447
## 46 0.91646780 0.9726735
## 47 0.91659102 0.9728021
## 48 0.93241296 0.9884088
## 
## $coverage_based
##    Assemblage        SC   m        Method Order.q        qD     qD.LCL
## 1     Girdled 0.1223268   1   Rarefaction       0  1.000000  0.9003334
## 2     Girdled 0.8674806  50   Rarefaction       0 15.030097 11.1541922
## 3     Girdled 0.9072004 100   Rarefaction       0 20.459428 13.3995997
## 4     Girdled 0.9285714 166   Rarefaction       0 25.867399 11.3239244
## 5     Girdled 0.9288554 168      Observed       0 26.000000 11.3311980
## 6     Girdled 0.9291383 169 Extrapolation       0 26.071145 11.2770024
## 7     Girdled 0.9373713 200 Extrapolation       0 28.141739  9.7391380
## 8     Girdled 0.9717693 400 Extrapolation       0 36.792837  1.3717461
## 9     Girdled 0.1223268   1   Rarefaction       1  1.000000  0.9043263
## 10    Girdled 0.8674806  50   Rarefaction       1  9.939329  8.0080648
## 11    Girdled 0.9072004 100   Rarefaction       1 11.266547  8.9266383
## 12    Girdled 0.9285714 166   Rarefaction       1 12.044343  9.4378419
## 13    Girdled 0.9288554 168      Observed       1 12.059650  9.4504261
## 14    Girdled 0.9291383 169 Extrapolation       1 12.067840  9.4552393
## 15    Girdled 0.9373713 200 Extrapolation       1 12.303742  9.6461904
## 16    Girdled 0.9717693 400 Extrapolation       1 13.225154 10.4972318
## 17    Girdled 0.1223268   1   Rarefaction       2  1.000000  0.9099178
## 18    Girdled 0.8674806  50   Rarefaction       2  7.148972  5.7276682
## 19    Girdled 0.9072004 100   Rarefaction       2  7.627561  6.0321949
## 20    Girdled 0.9285714 166   Rarefaction       2  7.836419  6.1954009
## 21    Girdled 0.9288554 168      Observed       2  7.840000  6.1987144
## 22    Girdled 0.9291383 169 Extrapolation       2  7.841901  6.2000624
## 23    Girdled 0.9373713 200 Extrapolation       2  7.891717  6.2457318
## 24    Girdled 0.9717693 400 Extrapolation       2  8.030777  6.3536919
## 25     Logged 0.1445014   1   Rarefaction       0  1.000000  0.7759333
## 26     Logged 0.8076089  50   Rarefaction       0 18.420025 14.9643089
## 27     Logged 0.8892800 100   Rarefaction       0 25.642343 18.7557765
## 28     Logged 0.9356422 200   Rarefaction       0 33.904552 19.3730809
## 29     Logged 0.9444444 250   Rarefaction       0 36.892629 20.3694205
## 30     Logged 0.9445706 252      Observed       0 37.000000 20.4503149
## 31     Logged 0.9446965 253 Extrapolation       0 37.055429 20.4778334
## 32     Logged 0.9604109 400 Extrapolation       0 43.973665 23.8506008
## 33     Logged 0.1445014   1   Rarefaction       1  1.000000  0.7842984
## 34     Logged 0.8076089  50   Rarefaction       1 10.747325  8.7054960
## 35     Logged 0.8892800 100   Rarefaction       1 12.648884 10.0051209
## 36     Logged 0.9356422 200   Rarefaction       1 14.053826 10.8331226
## 37     Logged 0.9444444 250   Rarefaction       1 14.409488 11.1063114
## 38     Logged 0.9445706 252      Observed       1 14.421002 11.1168543
## 39     Logged 0.9446965 253 Extrapolation       1 14.426930 11.1216863
## 40     Logged 0.9604109 400 Extrapolation       1 15.125810 11.7451952
## 41     Logged 0.1445014   1   Rarefaction       2  1.000000  0.7960806
## 42     Logged 0.8076089  50   Rarefaction       2  6.187685  4.6388922
## 43     Logged 0.8892800 100   Rarefaction       2  6.533542  4.7632037
## 44     Logged 0.9356422 200   Rarefaction       2  6.721385  4.8362569
## 45     Logged 0.9444444 250   Rarefaction       2  6.760301  4.8616709
## 46     Logged 0.9445706 252      Observed       2  6.761499  4.8626524
## 47     Logged 0.9446965 253 Extrapolation       2  6.762113  4.8630697
## 48     Logged 0.9604109 400 Extrapolation       2  6.819417  4.8989998
##       qD.UCL
## 1   1.099667
## 2  18.906002
## 3  27.519257
## 4  40.410874
## 5  40.668802
## 6  40.865287
## 7  46.544339
## 8  72.213929
## 9   1.095674
## 10 11.870593
## 11 13.606455
## 12 14.650844
## 13 14.668875
## 14 14.680442
## 15 14.961293
## 16 15.953076
## 17  1.090082
## 18  8.570277
## 19  9.222927
## 20  9.477437
## 21  9.481286
## 22  9.483739
## 23  9.537702
## 24  9.707861
## 25  1.224067
## 26 21.875741
## 27 32.528910
## 28 48.436022
## 29 53.415837
## 30 53.549685
## 31 53.633025
## 32 64.096729
## 33  1.215702
## 34 12.789155
## 35 15.292648
## 36 17.274530
## 37 17.712664
## 38 17.725149
## 39 17.732173
## 40 18.506425
## 41  1.203919
## 42  7.736478
## 43  8.303880
## 44  8.606514
## 45  8.658931
## 46  8.660346
## 47  8.661156
## 48  8.739834

Plotting

Plot for an iNEXT object created previously Rarefaction/extrapolation curves for q = 0

ggiNEXT(example1, type=1) # Curve for sample size

Rarefaction/extrapolation curves for sample size for all 3 numbers divided by site

ggiNEXT(example2, type=1, facet.var="Assemblage")

Rarefaction/extrapolation curves for sample size separated by “order” (q)

ggiNEXT(example2, type=1, facet.var="Both")

?ggiNEXT
ggiNEXT(example2, type=1, facet.var="Order.q")

# adding grey=TRUE, we get a plot in black and white theme

We can also work with sample coverage

ggiNEXT(example1, type=3) # Curve for sample size

Define at which sample size you want to compare your samples.

Results: for the three hill numbers, order 0, 1,2. For all of them is interpolated or extrapolated as requested and we get the values in qD with lower and upper confidence intervals. These values are now fully comparable

Use max value of the biggest sample size

inext_spiders <- iNEXT(spider, q = 0, datatype = "abundance")
info_spiders <- inext_spiders$DataInfo
max(info_spiders$n)
## [1] 252
estINEXTsize <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
          conf = 0.95)
estINEXTsize
##   Assemblage   m        Method Order.q        SC        qD    qD.LCL    qD.UCL
## 1    Girdled 252 Extrapolation       0 0.9490904 31.089085 24.168159 38.010012
## 2    Girdled 252 Extrapolation       1 0.9490904 12.630557 10.462532 14.798582
## 3    Girdled 252 Extrapolation       2 0.9490904  7.948519  6.508256  9.388781
## 4     Logged 252      Observed       0 0.9445706 37.000000 31.220836 42.779164
## 5     Logged 252      Observed       1 0.9445706 14.421002 11.773039 17.068964
## 6     Logged 252      Observed       2 0.9445706  6.761499  5.237905  8.285093

Use max sample coverage

max(info_spiders$SC)
## [1] 0.9446
estINEXTcov <- estimateD(spider, datatype = "abundance", base = "coverage", level = .945,
          conf = 0.95)
estINEXTcov
##   Assemblage        m        Method Order.q    SC        qD    qD.LCL    qD.UCL
## 1    Girdled 232.6025 Extrapolation       0 0.945 30.060357 14.640038 45.480676
## 2    Girdled 232.6025 Extrapolation       1 0.945 12.517775  9.615054 15.420496
## 3    Girdled 232.6025 Extrapolation       2 0.945  7.930211  6.034990  9.825432
## 4     Logged 255.4196 Extrapolation       0 0.945 37.189028 22.514231 51.863825
## 5     Logged 255.4196 Extrapolation       1 0.945 14.441198 12.007748 16.874648
## 6     Logged 255.4196 Extrapolation       2 0.945  6.763578  5.482310  8.044846

Now we can compare Species richness standardized for the same level of sample size for each habitat (sample)

estINEXTcover2 <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
          conf = 0.95) 

habitat <- factor(c("Girdled", "Logged"))

# plot simple
mysub <- subset(estINEXTcover2, estINEXTcover2$Order.q == 0 )
plot(mysub$qD ~ habitat, border = c("green4", "red"), 
        xlab = "Habitats", ylab = "Est. Species richness")

# plot with confidence interval in ggplot
ggplot(mysub, aes(x = habitat, y = qD)) +
  geom_point(colour = c("green4", "red"), size = 5) +
  geom_errorbar(aes(ymin = qD.LCL, ymax = qD.UCL), 
                colour = c("green4", "red"),
                width = 0.2) +
  xlab("Habitats") +
  ylab("Est. Species richness") +
  theme_bw() 

SPATIAL ANALYSIS OF DIVERSITY

BIRD DATA

How does urbanization affect species richness?

Load data

# Bird data
bird_data <- read.csv(here("data","data_berlin","animal_data",
                           "Birds_Berlin_exercise_planillo2021.csv") )
head(bird_data)
##   Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1                  0                         0                      0
## 2                  0                         0                      0
## 3                  0                         0                      0
## 4                  0                         3                      0
## 5                  0                         0                      0
## 6                  0                         2                      5
##   Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1                       0                   0               0                0
## 2                       0                   1               0                0
## 3                       0                   0               0                0
## 4                       4                   2               0                0
## 5                       0                   2               2               11
## 6                       5                   0               9                1
##   Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1        15           0                   0                   1
## 2        21           0                   0                   1
## 3         4           0                   0                   0
## 4         0           1                   0                   2
## 5         0           1                   1                   1
## 6         0           0                   1                   1
##   Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1                 2                     0                  0
## 2                11                    11                  0
## 3                 7                     4                  0
## 4                 2                     3                  0
## 5                 6                     2                  0
## 6                 2                     4                  0
##   Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1                             0             1             0               18
## 2                             0             0             0               23
## 3                             0             5             0               17
## 4                             1             0             5               10
## 5                             1             0             0                5
## 6                             1             0             0                2
##   Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1            0            10               0               9                0
## 2            0            11               0              25                0
## 3            0             2               0              18                0
## 4            0            10               2              19                0
## 5            1             6               1              18                0
## 6            0             1               1               7                0
##   Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1                 0                  0                 0                   0
## 2                 8                  0                 0                   0
## 3                 1                  0                 0                   0
## 4                10                  7                 1                   0
## 5                 4                  0                 0                  20
## 6                 4                  0                 0                   8
##   Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1                    0                  0                 0                  0
## 2                    0                  9                 0                  0
## 3                    0                  5                 0                  0
## 4                    1                 14                 0                  0
## 5                    0                 10                 0                  1
## 6                   14                  5                 0                  0
##   Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1                 0                   1                  0               0
## 2                 4                   1                  0               0
## 3                 2                   0                  0               0
## 4                30                   3                  0              10
## 5                18                   3                  2               0
## 6                 9                   1                  1               0
##   Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1               0                 0               0                     0
## 2               0                 0               0                     7
## 3               0                 0               0                     0
## 4               0                 0               0                     9
## 5               7                 2               0                    20
## 6               4                 1               0                     3
##   Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1                 0              0               0                 0
## 2                 0              2               0                 0
## 3                 0              0               0                 0
## 4                 0              1               0                 1
## 5                 0              2               0                 1
## 6                 0              1               3                 2
##   Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1               0          10               162               0          0
## 2               0          39               121               5          0
## 3               0          18                56               4          0
## 4               2          19                 2               0          1
## 5               2          35                18               4          0
## 6               3          10                 0               2          0
##   Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1                    0                       0                      0
## 2                    5                       7                      4
## 3                    4                       2                      0
## 4                    0                       0                     13
## 5                    1                       6                     13
## 6                    2                       2                      5
##   Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1                       0                      0         4             0
## 2                       0                      1         4             1
## 3                       0                      0         0             0
## 4                       1                      1         0             1
## 5                       0                     15         1             1
## 6                       0                      1         0             0
##   Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1               0                  0                   0                  0
## 2               0                  1                   2                  0
## 3               0                  0                   0                  0
## 4               2                  0                   1                  0
## 5               0                  1                   0                  0
## 6               0                  0                   0                  1
##   Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1               0              0                     0                2
## 2               5              3                     0               13
## 3               0              4                     0               11
## 4               0             21                     0               36
## 5               0              1                     0                6
## 6               0              1                     0                6
##   Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1                  2            0               0              1
## 2                 26            0               0              4
## 3                 10            0               0              0
## 4                 28            1               1              0
## 5                 24            5               4              1
## 6                  7            0               0              0
##   Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1                       0            27                 0 BE10
## 2                      10            37                 0 BE11
## 3                       4            30                 1 BE12
## 4                      14            27                11 BE13
## 5                       5            54                11 BE14
## 6                       3            13                 3 BE15
str(bird_data)
## 'data.frame':    29 obs. of  71 variables:
##  $ Accipiter_gentilis           : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ Acrocephalus_arundinaceus    : int  0 0 0 3 0 2 0 0 0 0 ...
##  $ Acrocephalus_palustris       : int  0 0 0 0 0 5 0 3 4 0 ...
##  $ Acrocephalus_scirpaceus      : int  0 0 0 4 0 5 0 0 0 2 ...
##  $ Aegithalos_caudatus          : int  0 1 0 2 2 0 0 0 2 0 ...
##  $ Alauda_arvensis              : int  0 0 0 0 2 9 0 21 1 0 ...
##  $ Anthus_trivialis             : int  0 0 0 0 11 1 0 0 0 0 ...
##  $ Apus_apus                    : int  15 21 4 0 0 0 0 0 3 12 ...
##  $ Buteo_buteo                  : int  0 0 0 1 1 0 0 0 0 0 ...
##  $ Carduelis_cannabina          : int  0 0 0 0 1 1 0 3 1 0 ...
##  $ Carduelis_carduelis          : int  1 1 0 2 1 1 1 3 1 4 ...
##  $ Carduelis_chloris            : int  2 11 7 2 6 2 11 6 8 13 ...
##  $ Certhia_brachydactyla        : int  0 11 4 3 2 4 2 0 1 3 ...
##  $ Certhia_familiaris           : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ Coccothraustes_coccothraustes: int  0 0 0 1 1 1 0 0 0 1 ...
##  $ Columba_livia                : int  1 0 5 0 0 0 0 0 1 0 ...
##  $ Columba_oenas                : int  0 0 0 5 0 0 0 0 0 0 ...
##  $ Columba_palumbus             : int  18 23 17 10 5 2 16 7 13 15 ...
##  $ Corvus_corax                 : int  0 0 0 0 1 0 0 0 1 0 ...
##  $ Corvus_corone                : int  10 11 2 10 6 1 4 4 8 10 ...
##  $ Cuculus_canorus              : int  0 0 0 2 1 1 0 3 1 0 ...
##  $ Parus_caeruleus              : int  9 25 18 19 18 7 20 4 18 15 ...
##  $ Delichon_urbicum             : int  0 0 0 0 0 0 0 0 2 0 ...
##  $ Dendrocopos_major            : int  0 8 1 10 4 4 0 0 3 3 ...
##  $ Dendrocopos_medius           : int  0 0 0 7 0 0 0 0 0 0 ...
##  $ Dryocopus_martius            : int  0 0 0 1 0 0 0 0 0 0 ...
##  $ Emberiza_citrinella          : int  0 0 0 0 20 8 0 14 4 0 ...
##  $ Emberiza_schoeniclus         : int  0 0 0 1 0 14 0 0 1 0 ...
##  $ Erithacus_rubecula           : int  0 9 5 14 10 5 0 0 4 4 ...
##  $ Falco_tinnunculus            : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ Ficedula_hypoleuca           : int  0 0 0 0 1 0 0 0 0 4 ...
##  $ Fringilla_coelebs            : int  0 4 2 30 18 9 2 2 0 0 ...
##  $ Garrulus_glandarius          : int  1 1 0 3 3 1 2 2 0 3 ...
##  $ Hippolais_icterina           : int  0 0 0 0 2 1 0 5 1 2 ...
##  $ Hirundo_rustica              : int  0 0 0 10 0 0 0 0 1 0 ...
##  $ Lanius_collurio              : int  0 0 0 0 7 4 0 2 2 0 ...
##  $ Locustella_naevia            : int  0 0 0 0 2 1 0 2 2 0 ...
##  $ Parus_cristatus              : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ Luscinia_megarhynchos        : int  0 7 0 9 20 3 10 6 18 5 ...
##  $ Miliaria_calandra            : int  0 0 0 0 0 0 0 8 0 0 ...
##  $ Motacilla_alba               : int  0 2 0 1 2 1 0 0 2 0 ...
##  $ Motacilla_flava              : int  0 0 0 0 0 3 0 0 0 0 ...
##  $ Muscicapa_striata            : int  0 0 0 1 1 2 0 0 1 3 ...
##  $ Oriolus_oriolus              : int  0 0 0 2 2 3 0 0 0 0 ...
##  $ Parus_major                  : int  10 39 18 19 35 10 46 17 28 18 ...
##  $ Passer_domesticus            : int  162 121 56 2 18 0 104 0 88 90 ...
##  $ Passer_montanus              : int  0 5 4 0 4 2 6 4 8 8 ...
##  $ Parus_ater                   : int  0 0 0 1 0 0 0 0 0 0 ...
##  $ Phoenicurus_ochruros         : int  0 5 4 0 1 2 7 0 4 6 ...
##  $ Phoenicurus_phoenicurus      : int  0 7 2 0 6 2 11 0 12 9 ...
##  $ Phylloscopus_collybita       : int  0 4 0 13 13 5 7 4 9 3 ...
##  $ Phylloscopus_sibilatrix      : int  0 0 0 1 0 0 0 0 0 0 ...
##  $ Phylloscopus_trochilus       : int  0 1 0 1 15 1 0 14 4 3 ...
##  $ Pica_pica                    : int  4 4 0 0 1 0 4 2 5 7 ...
##  $ Picus_viridis                : int  0 1 0 1 1 0 0 1 0 1 ...
##  $ Parus_palustris              : int  0 0 0 2 0 0 0 0 0 0 ...
##  $ Prunella_modularis           : int  0 1 0 0 1 0 1 0 3 1 ...
##  $ Regulus_ignicapilla          : int  0 2 0 1 0 0 4 0 1 0 ...
##  $ Saxicola_torquatus           : int  0 0 0 0 0 1 0 2 0 0 ...
##  $ Serinus_serinus              : int  0 5 0 0 0 0 4 0 7 4 ...
##  $ Sitta_europaea               : int  0 3 4 21 1 1 0 0 0 3 ...
##  $ Streptopelia_decaocto        : int  0 0 0 0 0 0 0 0 0 6 ...
##  $ Sturnus_vulgaris             : int  2 13 11 36 6 6 19 10 17 34 ...
##  $ Sylvia_atricapilla           : int  2 26 10 28 24 7 14 12 15 7 ...
##  $ Sylvia_borin                 : int  0 0 0 1 5 0 0 3 3 3 ...
##  $ Sylvia_communis              : int  0 0 0 1 4 0 0 23 0 1 ...
##  $ Sylvia_curruca               : int  1 4 0 0 1 0 7 3 4 4 ...
##  $ Troglodytes_troglodytes      : int  0 10 4 14 5 3 6 0 5 2 ...
##  $ Turdus_merula                : int  27 37 30 27 54 13 39 14 49 32 ...
##  $ Turdus_philomelos            : int  0 0 1 11 11 3 1 5 1 4 ...
##  $ site                         : chr  "BE10" "BE11" "BE12" "BE13" ...
summary(bird_data)
##  Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
##  Min.   :0.0000     Min.   :0.0000            Min.   :0.0000        
##  1st Qu.:0.0000     1st Qu.:0.0000            1st Qu.:0.0000        
##  Median :0.0000     Median :0.0000            Median :0.0000        
##  Mean   :0.1379     Mean   :0.2414            Mean   :0.4138        
##  3rd Qu.:0.0000     3rd Qu.:0.0000            3rd Qu.:0.0000        
##  Max.   :2.0000     Max.   :3.0000            Max.   :5.0000        
##  Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis  Anthus_trivialis 
##  Min.   :0.0000          Min.   :0.0000      Min.   : 0.000   Min.   : 0.0000  
##  1st Qu.:0.0000          1st Qu.:0.0000      1st Qu.: 0.000   1st Qu.: 0.0000  
##  Median :0.0000          Median :0.0000      Median : 0.000   Median : 0.0000  
##  Mean   :0.5517          Mean   :0.7241      Mean   : 1.172   Mean   : 0.4483  
##  3rd Qu.:0.0000          3rd Qu.:1.0000      3rd Qu.: 0.000   3rd Qu.: 0.0000  
##  Max.   :5.0000          Max.   :4.0000      Max.   :21.000   Max.   :11.0000  
##    Apus_apus       Buteo_buteo     Carduelis_cannabina Carduelis_carduelis
##  Min.   : 0.000   Min.   :0.0000   Min.   :0.0000      Min.   :0.000      
##  1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.:0.0000      1st Qu.:0.000      
##  Median : 0.000   Median :0.0000   Median :0.0000      Median :1.000      
##  Mean   : 5.069   Mean   :0.1034   Mean   :0.3103      Mean   :1.517      
##  3rd Qu.: 5.000   3rd Qu.:0.0000   3rd Qu.:0.0000      3rd Qu.:2.000      
##  Max.   :37.000   Max.   :1.0000   Max.   :3.0000      Max.   :6.000      
##  Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
##  Min.   : 0.000    Min.   : 0.000        Min.   :0.0000    
##  1st Qu.: 2.000    1st Qu.: 1.000        1st Qu.:0.0000    
##  Median : 6.000    Median : 3.000        Median :0.0000    
##  Mean   : 6.276    Mean   : 4.483        Mean   :0.5172    
##  3rd Qu.: 9.000    3rd Qu.: 9.000        3rd Qu.:0.0000    
##  Max.   :19.000    Max.   :12.000        Max.   :6.0000    
##  Coccothraustes_coccothraustes Columba_livia    Columba_oenas   
##  Min.   : 0.000                Min.   : 0.000   Min.   :0.0000  
##  1st Qu.: 0.000                1st Qu.: 0.000   1st Qu.:0.0000  
##  Median : 0.000                Median : 0.000   Median :0.0000  
##  Mean   : 1.621                Mean   : 2.586   Mean   :0.4138  
##  3rd Qu.: 1.000                3rd Qu.: 4.000   3rd Qu.:0.0000  
##  Max.   :15.000                Max.   :15.000   Max.   :5.0000  
##  Columba_palumbus  Corvus_corax    Corvus_corone    Cuculus_canorus 
##  Min.   : 2.00    Min.   :0.0000   Min.   : 0.000   Min.   :0.0000  
##  1st Qu.:10.00    1st Qu.:0.0000   1st Qu.: 2.000   1st Qu.:0.0000  
##  Median :13.00    Median :0.0000   Median : 6.000   Median :0.0000  
##  Mean   :13.07    Mean   :0.1379   Mean   : 6.586   Mean   :0.3448  
##  3rd Qu.:17.00    3rd Qu.:0.0000   3rd Qu.:10.000   3rd Qu.:0.0000  
##  Max.   :32.00    Max.   :1.0000   Max.   :22.000   Max.   :3.0000  
##  Parus_caeruleus Delichon_urbicum Dendrocopos_major Dendrocopos_medius
##  Min.   : 4      Min.   :0.0000   Min.   : 0.000    Min.   :0.0000    
##  1st Qu.:11      1st Qu.:0.0000   1st Qu.: 1.000    1st Qu.:0.0000    
##  Median :18      Median :0.0000   Median : 2.000    Median :0.0000    
##  Mean   :19      Mean   :0.2069   Mean   : 5.517    Mean   :0.3103    
##  3rd Qu.:23      3rd Qu.:0.0000   3rd Qu.: 8.000    3rd Qu.:0.0000    
##  Max.   :44      Max.   :2.0000   Max.   :36.000    Max.   :7.0000    
##  Dryocopus_martius Emberiza_citrinella Emberiza_schoeniclus Erithacus_rubecula
##  Min.   :0.0000    Min.   : 0.000      Min.   : 0.0000      Min.   : 0.000    
##  1st Qu.:0.0000    1st Qu.: 0.000      1st Qu.: 0.0000      1st Qu.: 2.000    
##  Median :0.0000    Median : 0.000      Median : 0.0000      Median : 4.000    
##  Mean   :0.2069    Mean   : 1.862      Mean   : 0.5517      Mean   : 6.931    
##  3rd Qu.:0.0000    3rd Qu.: 0.000      3rd Qu.: 0.0000      3rd Qu.:10.000    
##  Max.   :2.0000    Max.   :20.000      Max.   :14.0000      Max.   :35.000    
##  Falco_tinnunculus Ficedula_hypoleuca Fringilla_coelebs Garrulus_glandarius
##  Min.   :0.0000    Min.   :0.000      Min.   : 0.00     Min.   :0.000      
##  1st Qu.:0.0000    1st Qu.:0.000      1st Qu.: 0.00     1st Qu.:1.000      
##  Median :0.0000    Median :0.000      Median : 3.00     Median :1.000      
##  Mean   :0.1724    Mean   :1.345      Mean   :11.86     Mean   :1.793      
##  3rd Qu.:0.0000    3rd Qu.:1.000      3rd Qu.:18.00     3rd Qu.:3.000      
##  Max.   :1.0000    Max.   :9.000      Max.   :71.00     Max.   :5.000      
##  Hippolais_icterina Hirundo_rustica   Lanius_collurio  Locustella_naevia
##  Min.   :0.0000     Min.   : 0.0000   Min.   :0.0000   Min.   :0.0000   
##  1st Qu.:0.0000     1st Qu.: 0.0000   1st Qu.:0.0000   1st Qu.:0.0000   
##  Median :0.0000     Median : 0.0000   Median :0.0000   Median :0.0000   
##  Mean   :0.3793     Mean   : 0.6552   Mean   :0.5172   Mean   :0.2414   
##  3rd Qu.:0.0000     3rd Qu.: 0.0000   3rd Qu.:0.0000   3rd Qu.:0.0000   
##  Max.   :5.0000     Max.   :10.0000   Max.   :7.0000   Max.   :2.0000   
##  Parus_cristatus  Luscinia_megarhynchos Miliaria_calandra Motacilla_alba  
##  Min.   :0.0000   Min.   : 0.000        Min.   :0.0000    Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.: 0.000        1st Qu.:0.0000    1st Qu.:0.0000  
##  Median :0.0000   Median : 2.000        Median :0.0000    Median :0.0000  
##  Mean   :0.8621   Mean   : 4.069        Mean   :0.2759    Mean   :0.4138  
##  3rd Qu.:0.0000   3rd Qu.: 7.000        3rd Qu.:0.0000    3rd Qu.:1.0000  
##  Max.   :7.0000   Max.   :20.000        Max.   :8.0000    Max.   :2.0000  
##  Motacilla_flava  Muscicapa_striata Oriolus_oriolus   Parus_major   
##  Min.   :0.0000   Min.   :0.0000    Min.   :0.0000   Min.   : 6.00  
##  1st Qu.:0.0000   1st Qu.:0.0000    1st Qu.:0.0000   1st Qu.:17.00  
##  Median :0.0000   Median :0.0000    Median :0.0000   Median :22.00  
##  Mean   :0.1034   Mean   :0.6207    Mean   :0.2759   Mean   :23.86  
##  3rd Qu.:0.0000   3rd Qu.:1.0000    3rd Qu.:0.0000   3rd Qu.:29.00  
##  Max.   :3.0000   Max.   :4.0000    Max.   :3.0000   Max.   :52.00  
##  Passer_domesticus Passer_montanus    Parus_ater     Phoenicurus_ochruros
##  Min.   :  0.00    Min.   : 0.000   Min.   :0.0000   Min.   : 0          
##  1st Qu.: 14.00    1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.: 1          
##  Median : 65.00    Median : 3.000   Median :0.0000   Median : 2          
##  Mean   : 68.38    Mean   : 3.828   Mean   :0.5517   Mean   : 4          
##  3rd Qu.: 90.00    3rd Qu.: 6.000   3rd Qu.:0.0000   3rd Qu.: 5          
##  Max.   :279.00    Max.   :15.000   Max.   :5.0000   Max.   :21          
##  Phoenicurus_phoenicurus Phylloscopus_collybita Phylloscopus_sibilatrix
##  Min.   : 0.000          Min.   : 0.000         Min.   : 0.000         
##  1st Qu.: 2.000          1st Qu.: 0.000         1st Qu.: 0.000         
##  Median : 5.000          Median : 2.000         Median : 0.000         
##  Mean   : 4.966          Mean   : 3.517         Mean   : 2.069         
##  3rd Qu.: 8.000          3rd Qu.: 5.000         3rd Qu.: 1.000         
##  Max.   :13.000          Max.   :14.000         Max.   :24.000         
##  Phylloscopus_trochilus   Pica_pica      Picus_viridis    Parus_palustris  
##  Min.   : 0.000         Min.   : 0.000   Min.   :0.0000   Min.   : 0.0000  
##  1st Qu.: 0.000         1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.: 0.0000  
##  Median : 0.000         Median : 2.000   Median :0.0000   Median : 0.0000  
##  Mean   : 1.483         Mean   : 3.138   Mean   :0.4483   Mean   : 0.5517  
##  3rd Qu.: 1.000         3rd Qu.: 5.000   3rd Qu.:1.0000   3rd Qu.: 0.0000  
##  Max.   :15.000         Max.   :10.000   Max.   :1.0000   Max.   :10.0000  
##  Prunella_modularis Regulus_ignicapilla Saxicola_torquatus Serinus_serinus 
##  Min.   :0.0000     Min.   : 0.000      Min.   :0.0000     Min.   : 0.000  
##  1st Qu.:0.0000     1st Qu.: 0.000      1st Qu.:0.0000     1st Qu.: 0.000  
##  Median :0.0000     Median : 0.000      Median :0.0000     Median : 1.000  
##  Mean   :0.5517     Mean   : 1.552      Mean   :0.1034     Mean   : 2.103  
##  3rd Qu.:1.0000     3rd Qu.: 2.000      3rd Qu.:0.0000     3rd Qu.: 4.000  
##  Max.   :5.0000     Max.   :12.000      Max.   :2.0000     Max.   :15.000  
##  Sitta_europaea   Streptopelia_decaocto Sturnus_vulgaris Sylvia_atricapilla
##  Min.   : 0.000   Min.   :0.0000        Min.   : 2.00    Min.   : 0.00     
##  1st Qu.: 0.000   1st Qu.:0.0000        1st Qu.: 5.00    1st Qu.: 7.00     
##  Median : 1.000   Median :0.0000        Median : 8.00    Median :10.00     
##  Mean   : 4.759   Mean   :0.2069        Mean   :10.52    Mean   :10.83     
##  3rd Qu.: 4.000   3rd Qu.:0.0000        3rd Qu.:13.00    3rd Qu.:13.00     
##  Max.   :29.000   Max.   :6.0000        Max.   :36.00    Max.   :28.00     
##   Sylvia_borin    Sylvia_communis  Sylvia_curruca  Troglodytes_troglodytes
##  Min.   :0.0000   Min.   : 0.000   Min.   :0.000   Min.   : 0.000         
##  1st Qu.:0.0000   1st Qu.: 0.000   1st Qu.:0.000   1st Qu.: 0.000         
##  Median :0.0000   Median : 0.000   Median :2.000   Median : 3.000         
##  Mean   :0.6207   Mean   : 1.069   Mean   :2.207   Mean   : 6.034         
##  3rd Qu.:0.0000   3rd Qu.: 0.000   3rd Qu.:3.000   3rd Qu.: 9.000         
##  Max.   :5.0000   Max.   :23.000   Max.   :7.000   Max.   :36.000         
##  Turdus_merula   Turdus_philomelos     site          
##  Min.   :11.00   Min.   : 0.000    Length:29         
##  1st Qu.:18.00   1st Qu.: 0.000    Class :character  
##  Median :27.00   Median : 1.000    Mode  :character  
##  Mean   :29.34   Mean   : 3.345                      
##  3rd Qu.:39.00   3rd Qu.: 5.000                      
##  Max.   :54.00   Max.   :14.000
bird_data
##    Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1                   0                         0                      0
## 2                   0                         0                      0
## 3                   0                         0                      0
## 4                   0                         3                      0
## 5                   0                         0                      0
## 6                   0                         2                      5
## 7                   0                         0                      0
## 8                   0                         0                      3
## 9                   1                         0                      4
## 10                  0                         0                      0
## 11                  2                         0                      0
## 12                  0                         0                      0
## 13                  1                         0                      0
## 14                  0                         0                      0
## 15                  0                         0                      0
## 16                  0                         0                      0
## 17                  0                         0                      0
## 18                  0                         0                      0
## 19                  0                         0                      0
## 20                  0                         0                      0
## 21                  0                         0                      0
## 22                  0                         2                      0
## 23                  0                         0                      0
## 24                  0                         0                      0
## 25                  0                         0                      0
## 26                  0                         0                      0
## 27                  0                         0                      0
## 28                  0                         0                      0
## 29                  0                         0                      0
##    Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1                        0                   0               0                0
## 2                        0                   1               0                0
## 3                        0                   0               0                0
## 4                        4                   2               0                0
## 5                        0                   2               2               11
## 6                        5                   0               9                1
## 7                        0                   0               0                0
## 8                        0                   0              21                0
## 9                        0                   2               1                0
## 10                       2                   0               0                0
## 11                       0                   1               0                0
## 12                       0                   0               0                0
## 13                       1                   2               0                0
## 14                       0                   1               0                0
## 15                       0                   0               0                0
## 16                       0                   0               0                0
## 17                       0                   3               0                0
## 18                       0                   1               0                0
## 19                       0                   1               0                0
## 20                       1                   0               0                0
## 21                       0                   0               0                0
## 22                       0                   0               0                1
## 23                       0                   1               1                0
## 24                       0                   4               0                0
## 25                       0                   0               0                0
## 26                       0                   0               0                0
## 27                       0                   0               0                0
## 28                       0                   0               0                0
## 29                       3                   0               0                0
##    Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1         15           0                   0                   1
## 2         21           0                   0                   1
## 3          4           0                   0                   0
## 4          0           1                   0                   2
## 5          0           1                   1                   1
## 6          0           0                   1                   1
## 7          0           0                   0                   1
## 8          0           0                   3                   3
## 9          3           0                   1                   1
## 10        12           0                   0                   4
## 11         0           0                   0                   0
## 12         4           0                   0                   0
## 13         3           0                   0                   2
## 14         5           0                   0                   3
## 15         5           0                   0                   3
## 16         0           0                   0                   6
## 17        12           0                   0                   1
## 18         0           0                   0                   0
## 19        19           0                   3                   0
## 20         0           1                   0                   2
## 21         0           0                   0                   1
## 22         0           0                   0                   1
## 23         0           0                   0                   1
## 24         0           0                   0                   0
## 25         5           0                   0                   0
## 26         2           0                   0                   1
## 27        37           0                   0                   2
## 28         0           0                   0                   6
## 29         0           0                   0                   0
##    Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1                  2                     0                  0
## 2                 11                    11                  0
## 3                  7                     4                  0
## 4                  2                     3                  0
## 5                  6                     2                  0
## 6                  2                     4                  0
## 7                 11                     2                  0
## 8                  6                     0                  0
## 9                  8                     1                  0
## 10                13                     3                  0
## 11                 0                    11                  6
## 12                 1                     1                  0
## 13                 7                    11                  0
## 14                10                     5                  0
## 15                 3                     3                  0
## 16                 5                     5                  0
## 17                19                     0                  0
## 18                 6                    10                  0
## 19                11                     4                  0
## 20                 0                     9                  2
## 21                 9                     0                  0
## 22                 5                     9                  1
## 23                 9                     1                  0
## 24                 6                    10                  0
## 25                 4                     0                  0
## 26                 2                     3                  0
## 27                 8                     4                  0
## 28                 9                     2                  0
## 29                 0                    12                  6
##    Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1                              0             1             0               18
## 2                              0             0             0               23
## 3                              0             5             0               17
## 4                              1             0             5               10
## 5                              1             0             0                5
## 6                              1             0             0                2
## 7                              0             0             0               16
## 8                              0             0             0                7
## 9                              0             1             0               13
## 10                             1             0             0               15
## 11                            15             0             2               12
## 12                             0             4             0                6
## 13                             8             0             0               15
## 14                             0            15             0               18
## 15                             0            13             0               18
## 16                             0             0             0               11
## 17                             0             0             0               10
## 18                             0             2             0               13
## 19                             2             1             0               17
## 20                             3             0             3                6
## 21                             0             3             0               15
## 22                             3             2             0                5
## 23                             0             0             0               18
## 24                             5             0             1               19
## 25                             0             7             0               11
## 26                             0             9             0               10
## 27                             0             8             0               32
## 28                             0             4             0               12
## 29                             7             0             1                5
##    Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1             0            10               0               9                0
## 2             0            11               0              25                0
## 3             0             2               0              18                0
## 4             0            10               2              19                0
## 5             1             6               1              18                0
## 6             0             1               1               7                0
## 7             0             4               0              20                0
## 8             0             4               3               4                0
## 9             1             8               1              18                2
## 10            0            10               0              15                0
## 11            1             2               1              33                0
## 12            0             3               0              11                0
## 13            0             4               0              44                0
## 14            0             4               0              14                0
## 15            0             6               0              12                0
## 16            0            11               0              15                0
## 17            0             5               0              18                0
## 18            0             2               0              16                0
## 19            0            14               0              26                0
## 20            0             0               0              31                0
## 21            0            12               0              11                0
## 22            1             1               0              23                0
## 23            0             2               0              11                0
## 24            0             8               0              44                0
## 25            0             7               0               5                1
## 26            0             8               0              22                1
## 27            0            22               0              23                2
## 28            0            13               0              10                0
## 29            0             1               1              29                0
##    Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1                  0                  0                 0                   0
## 2                  8                  0                 0                   0
## 3                  1                  0                 0                   0
## 4                 10                  7                 1                   0
## 5                  4                  0                 0                  20
## 6                  4                  0                 0                   8
## 7                  0                  0                 0                   0
## 8                  0                  0                 0                  14
## 9                  3                  0                 0                   4
## 10                 3                  0                 0                   0
## 11                36                  1                 2                   0
## 12                 1                  0                 0                   0
## 13                 8                  0                 0                   0
## 14                 0                  0                 0                   0
## 15                 0                  0                 0                   0
## 16                 2                  0                 0                   0
## 17                 2                  0                 0                   0
## 18                 6                  0                 0                   0
## 19                 3                  0                 0                   1
## 20                11                  0                 1                   0
## 21                 2                  0                 0                   0
## 22                 9                  0                 0                   7
## 23                 2                  0                 0                   0
## 24                22                  0                 1                   0
## 25                 1                  0                 0                   0
## 26                 1                  0                 0                   0
## 27                 1                  0                 0                   0
## 28                 1                  0                 0                   0
## 29                19                  1                 1                   0
##    Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1                     0                  0                 0                  0
## 2                     0                  9                 0                  0
## 3                     0                  5                 0                  0
## 4                     1                 14                 0                  0
## 5                     0                 10                 0                  1
## 6                    14                  5                 0                  0
## 7                     0                  0                 0                  0
## 8                     0                  0                 0                  0
## 9                     1                  4                 1                  0
## 10                    0                  4                 0                  4
## 11                    0                 35                 0                  6
## 12                    0                  0                 0                  0
## 13                    0                 13                 0                  0
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## 15                    0                  5                 0                  0
## 16                    0                  2                 0                  0
## 17                    0                  1                 0                  0
## 18                    0                  5                 1                  0
## 19                    0                  3                 1                  1
## 20                    0                 25                 0                  8
## 21                    0                  2                 0                  0
## 22                    0                 10                 0                  9
## 23                    0                  3                 0                  0
## 24                    0                 17                 0                  7
## 25                    0                  0                 0                  0
## 26                    0                  3                 1                  0
## 27                    0                  2                 0                  0
## 28                    0                  0                 1                  0
## 29                    0                 22                 0                  3
##    Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1                  0                   1                  0               0
## 2                  4                   1                  0               0
## 3                  2                   0                  0               0
## 4                 30                   3                  0              10
## 5                 18                   3                  2               0
## 6                  9                   1                  1               0
## 7                  2                   2                  0               0
## 8                  2                   2                  5               0
## 9                  0                   0                  1               1
## 10                 0                   3                  2               0
## 11                71                   5                  0               0
## 12                 0                   0                  0               0
## 13                24                   1                  0               0
## 14                 0                   1                  0               0
## 15                 1                   0                  0               0
## 16                 3                   0                  0               0
## 17                 5                   1                  0               1
## 18                 8                   0                  0               0
## 19                 1                   2                  0               0
## 20                46                   4                  0               0
## 21                 3                   5                  0               0
## 22                21                   2                  0               7
## 23                 0                   1                  0               0
## 24                36                   5                  0               0
## 25                 0                   2                  0               0
## 26                 3                   0                  0               0
## 27                 0                   2                  0               0
## 28                 0                   1                  0               0
## 29                55                   4                  0               0
##    Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1                0                 0               0                     0
## 2                0                 0               0                     7
## 3                0                 0               0                     0
## 4                0                 0               0                     9
## 5                7                 2               0                    20
## 6                4                 1               0                     3
## 7                0                 0               0                    10
## 8                2                 2               0                     6
## 9                2                 2               1                    18
## 10               0                 0               0                     5
## 11               0                 0               5                     0
## 12               0                 0               0                     0
## 13               0                 0               0                     8
## 14               0                 0               0                     2
## 15               0                 0               0                     0
## 16               0                 0               0                     0
## 17               0                 0               0                     2
## 18               0                 0               0                     2
## 19               0                 0               2                     7
## 20               0                 0               4                     0
## 21               0                 0               0                     0
## 22               0                 0               7                     3
## 23               0                 0               0                    10
## 24               0                 0               0                     0
## 25               0                 0               0                     1
## 26               0                 0               0                     0
## 27               0                 0               0                     1
## 28               0                 0               0                     3
## 29               0                 0               6                     1
##    Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1                  0              0               0                 0
## 2                  0              2               0                 0
## 3                  0              0               0                 0
## 4                  0              1               0                 1
## 5                  0              2               0                 1
## 6                  0              1               3                 2
## 7                  0              0               0                 0
## 8                  8              0               0                 0
## 9                  0              2               0                 1
## 10                 0              0               0                 3
## 11                 0              0               0                 2
## 12                 0              0               0                 0
## 13                 0              0               0                 4
## 14                 0              0               0                 0
## 15                 0              1               0                 0
## 16                 0              0               0                 0
## 17                 0              0               0                 0
## 18                 0              0               0                 2
## 19                 0              1               0                 0
## 20                 0              1               0                 1
## 21                 0              0               0                 0
## 22                 0              0               0                 0
## 23                 0              0               0                 0
## 24                 0              0               0                 0
## 25                 0              0               0                 0
## 26                 0              0               0                 0
## 27                 0              1               0                 0
## 28                 0              0               0                 0
## 29                 0              0               0                 1
##    Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1                0          10               162               0          0
## 2                0          39               121               5          0
## 3                0          18                56               4          0
## 4                2          19                 2               0          1
## 5                2          35                18               4          0
## 6                3          10                 0               2          0
## 7                0          46               104               6          0
## 8                0          17                 0               4          0
## 9                0          28                88               8          0
## 10               0          18                90               8          0
## 11               0          29                 0               0          3
## 12               0           9                71               1          0
## 13               0          29                 5               1          0
## 14               0          19                62               0          0
## 15               0          18                71               0          0
## 16               0          20               174               0          0
## 17               0          25                65               5          0
## 18               0          39               115               0          0
## 19               0          36                65              12          0
## 20               0          28                 0               0          0
## 21               0          13                56              14          0
## 22               0          29                22               5          4
## 23               0          22                78              15          0
## 24               1          52                14               7          3
## 25               0           6               116               0          0
## 26               0          15                76               0          0
## 27               0          22               279               3          0
## 28               0          14                73               7          0
## 29               0          27                 0               0          5
##    Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1                     0                       0                      0
## 2                     5                       7                      4
## 3                     4                       2                      0
## 4                     0                       0                     13
## 5                     1                       6                     13
## 6                     2                       2                      5
## 7                     7                      11                      7
## 8                     0                       0                      4
## 9                     4                      12                      9
## 10                    6                       9                      3
## 11                    0                       0                      1
## 12                    1                       3                      0
## 13                    3                      13                     14
## 14                   19                       5                      0
## 15                   21                       3                      0
## 16                    4                       3                      0
## 17                    2                       9                      5
## 18                    2                       5                      1
## 19                    3                       9                      1
## 20                    0                       1                      2
## 21                   10                       5                      0
## 22                    1                       8                     11
## 23                    1                       9                      1
## 24                    2                       7                      3
## 25                    5                       0                      0
## 26                    2                       5                      0
## 27                    5                       2                      0
## 28                    6                       6                      2
## 29                    0                       2                      3
##    Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1                        0                      0         4             0
## 2                        0                      1         4             1
## 3                        0                      0         0             0
## 4                        1                      1         0             1
## 5                        0                     15         1             1
## 6                        0                      1         0             0
## 7                        0                      0         4             0
## 8                        0                     14         2             1
## 9                        0                      4         5             0
## 10                       0                      3         7             1
## 11                      24                      0         0             1
## 12                       0                      0         4             0
## 13                       6                      0         0             1
## 14                       0                      0         3             0
## 15                       0                      0         3             0
## 16                       0                      0         2             0
## 17                       2                      0         2             1
## 18                       0                      0         0             1
## 19                       1                      2         9             1
## 20                       4                      0         0             0
## 21                       0                      0         9             0
## 22                       8                      0         2             0
## 23                       0                      0         2             1
## 24                       0                      0         0             1
## 25                       0                      0        10             0
## 26                       0                      0         5             1
## 27                       1                      1         7             0
## 28                       0                      0         6             0
## 29                      13                      1         0             0
##    Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1                0                  0                   0                  0
## 2                0                  1                   2                  0
## 3                0                  0                   0                  0
## 4                2                  0                   1                  0
## 5                0                  1                   0                  0
## 6                0                  0                   0                  1
## 7                0                  1                   4                  0
## 8                0                  0                   0                  2
## 9                0                  3                   1                  0
## 10               0                  1                   0                  0
## 11               0                  0                   7                  0
## 12               0                  0                   0                  0
## 13               0                  5                   3                  0
## 14               0                  0                   0                  0
## 15               0                  0                   0                  0
## 16               0                  0                   0                  0
## 17               0                  1                   2                  0
## 18               0                  0                   0                  0
## 19               0                  1                   0                  0
## 20               3                  0                   6                  0
## 21               0                  0                   0                  0
## 22               0                  1                   2                  0
## 23               0                  1                   0                  0
## 24               1                  0                  12                  0
## 25               0                  0                   0                  0
## 26               0                  0                   0                  0
## 27               0                  0                   0                  0
## 28               0                  0                   0                  0
## 29              10                  0                   5                  0
##    Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1                0              0                     0                2
## 2                5              3                     0               13
## 3                0              4                     0               11
## 4                0             21                     0               36
## 5                0              1                     0                6
## 6                0              1                     0                6
## 7                4              0                     0               19
## 8                0              0                     0               10
## 9                7              0                     0               17
## 10               4              3                     6               34
## 11               0             29                     0                2
## 12               1              1                     0                5
## 13              15              6                     0               19
## 14               3              0                     0                3
## 15               1              0                     0                4
## 16               0              3                     0                9
## 17               2              0                     0                7
## 18               1              4                     0               19
## 19               5              0                     0               12
## 20               0             18                     0                3
## 21               0              1                     0               18
## 22               4              5                     0                7
## 23               0              0                     0                2
## 24               0             23                     0                8
## 25               2              0                     0                5
## 26               3              0                     0                8
## 27               0              1                     0               11
## 28               4              0                     0                7
## 29               0             14                     0                2
##    Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1                   2            0               0              1
## 2                  26            0               0              4
## 3                  10            0               0              0
## 4                  28            1               1              0
## 5                  24            5               4              1
## 6                   7            0               0              0
## 7                  14            0               0              7
## 8                  12            3              23              3
## 9                  15            3               0              4
## 10                  7            3               1              4
## 11                  9            0               0              0
## 12                  6            0               0              2
## 13                 20            0               0              3
## 14                  7            0               0              3
## 15                  4            0               0              1
## 16                  8            0               0              1
## 17                 10            0               0              0
## 18                 10            0               0              3
## 19                  3            0               2              4
## 20                 11            0               0              0
## 21                  6            2               0              5
## 22                 12            0               0              3
## 23                 13            1               0              7
## 24                 13            0               0              3
## 25                  0            0               0              0
## 26                  8            0               0              1
## 27                 10            0               0              1
## 28                  5            0               0              3
## 29                 14            0               0              0
##    Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1                        0            27                 0 BE10
## 2                       10            37                 0 BE11
## 3                        4            30                 1 BE12
## 4                       14            27                11 BE13
## 5                        5            54                11 BE14
## 6                        3            13                 3 BE15
## 7                        6            39                 1 BE16
## 8                        0            14                 5 BE17
## 9                        5            49                 1 BE18
## 10                       2            32                 4 BE19
## 11                      36            30                14  BE2
## 12                       0            14                 0 BE20
## 13                      15            54                 6 BE21
## 14                       1            27                 0 BE22
## 15                       0            26                 0 BE23
## 16                       1            27                 0 BE24
## 17                       0            18                 1 BE25
## 18                       5            26                 0 BE26
## 19                       1            24                 1 BE27
## 20                       9            14                 9 BE28
## 21                       0            41                 0 BE29
## 22                       9            25                 7  BE3
## 23                       6            46                 1 BE30
## 24                      26            40                14  BE4
## 25                       0            11                 0  BE5
## 26                       1            16                 1  BE6
## 27                       0            51                 1  BE7
## 28                       2            22                 0  BE8
## 29                      14            17                 5  BE9

Get the Hill Number for species richness

iNext package uses the data in a specific format: Matrix with species in rows, sites in columns.

# get the data in the proper format
bird_data <- column_to_rownames(bird_data, "site") 
bird_data <- t(bird_data)

# run inext function
birds_inext <- iNEXT(bird_data, q = 0, datatype = "abundance") # q = 0 -> species richness

#Show a summary of the data 
birds_inext$DataInfo
##    Assemblage   n S.obs     SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1        BE10 265    15 0.9850  4  3  0  1  0  0  0  0  1   2
## 2        BE11 423    32 0.9858  6  2  1  4  3  0  2  1  1   1
## 3        BE12 209    21 0.9906  2  3  0  6  2  0  1  0  0   1
## 4        BE13 333    42 0.9611 13  7  3  1  1  0  1  0  1   4
## 5        BE14 356    46 0.9608 14  7  1  3  3  4  1  0  0   1
## 6        BE15 157    41 0.9178 13  7  5  3  4  1  2  1  2   1
## 7        BE16 348    25 0.9914  3  3  0  4  0  2  3  0  0   1
## 8        BE17 209    31 0.9955  1  6  6  4  2  2  1  1  0   1
## 9        BE18 370    47 0.9568 16  5  4  6  2  0  1  3  1   0
## 10       BE19 345    37 0.9885  4  3  8  6  1  2  2  1  1   1
## 11        BE2 434    32 0.9862  6  6  1  0  2  2  1  0  1   0
## 12       BE20 149    20 0.9531  7  1  2  3  1  2  0  0  1   0
## 13       BE21 374    35 0.9867  5  2  4  2  2  3  1  3  0   0
## 14       BE22 232    23 0.9871  3  2  5  1  3  0  1  0  0   1
## 15       BE23 222    21 0.9820  4  0  5  2  2  1  0  0  0   0
## 16       BE24 312    20 0.9937  2  3  3  1  2  1  0  1  1   0
## 17       BE25 237    29 0.9707  7  7  1  0  4  0  1  0  1   2
## 18       BE26 305    26 0.9837  5  5  1  1  3  2  0  1  0   2
## 19       BE27 312    39 0.9584 13  5  5  2  1  0  1  0  2   0
## 20       BE28 267    30 0.9776  6  3  4  3  0  2  0  1  3   0
## 21       BE29 243    22 0.9919  2  3  2  0  3  1  0  0  2   1
## 22        BE3 294    40 0.9763  7  5  3  2  4  0  5  2  4   1
## 23       BE30 266    28 0.9588 11  4  1  0  0  1  1  0  2   1
## 24        BE4 415    32 0.9880  5  1  3  1  2  1  3  2  0   1
## 25        BE5 199    17 0.9850  3  2  0  1  4  1  2  0  0   1
## 26        BE6 208    26 0.9617  8  3  4  0  2  0  0  3  1   1
## 27        BE7 540    28 0.9852  8  5  1  1  1  0  1  2  0   1
## 28        BE8 219    24 0.9864  3  3  2  2  1  4  2  0  1   1
## 29        BE9 310    33 0.9742  8  2  3  1  4  2  1  0  0   1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
head(birds_inext$iNextEst)
## $size_based
##      Assemblage    m        Method Order.q        qD    qD.LCL    qD.UCL
## 1          BE10    1   Rarefaction       0  1.000000  1.000000  1.000000
## 2          BE10   15   Rarefaction       0  5.138521  4.650761  5.626281
## 3          BE10   30   Rarefaction       0  7.261204  6.588280  7.934129
## 4          BE10   44   Rarefaction       0  8.493792  7.643835  9.343750
## 5          BE10   59   Rarefaction       0  9.433917  8.396477 10.471357
## 6          BE10   74   Rarefaction       0 10.164352  8.955522 11.373183
## 7          BE10   88   Rarefaction       0 10.736162  9.385293 12.087032
## 8          BE10  103   Rarefaction       0 11.274111  9.789432 12.758790
## 9          BE10  117   Rarefaction       0 11.727559 10.132990 13.322129
## 10         BE10  132   Rarefaction       0 12.174118 10.475175 13.873062
## 11         BE10  147   Rarefaction       0 12.587566 10.795405 14.379728
## 12         BE10  161   Rarefaction       0 12.947639 11.076388 14.818889
## 13         BE10  176   Rarefaction       0 13.308532 11.359030 15.258034
## 14         BE10  190   Rarefaction       0 13.623868 11.605832 15.641904
## 15         BE10  205   Rarefaction       0 13.940110 11.852015 16.028204
## 16         BE10  220   Rarefaction       0 14.235107 12.079156 16.391059
## 17         BE10  234   Rarefaction       0 14.492039 12.273725 16.710353
## 18         BE10  249   Rarefaction       0 14.748190 12.463119 17.033260
## 19         BE10  264   Rarefaction       0 14.984906 12.632187 17.337625
## 20         BE10  265      Observed       0 15.000000 12.642716 17.357284
## 21         BE10  266 Extrapolation       0 15.015009 12.653152 17.376866
## 22         BE10  279 Extrapolation       0 15.202582 12.780541 17.624624
## 23         BE10  293 Extrapolation       0 15.389716 12.901235 17.878197
## 24         BE10  307 Extrapolation       0 15.562580 13.005939 18.119221
## 25         BE10  321 Extrapolation       0 15.722262 13.095804 18.348719
## 26         BE10  335 Extrapolation       0 15.869767 13.171963 18.567571
## 27         BE10  349 Extrapolation       0 16.006024 13.235507 18.776541
## 28         BE10  363 Extrapolation       0 16.131891 13.287477 18.976304
## 29         BE10  377 Extrapolation       0 16.248159 13.328855 19.167464
## 30         BE10  391 Extrapolation       0 16.355562 13.360562 19.350561
## 31         BE10  404 Extrapolation       0 16.447945 13.382099 19.513791
## 32         BE10  418 Extrapolation       0 16.540113 13.397537 19.682689
## 33         BE10  432 Extrapolation       0 16.625252 13.405660 19.844844
## 34         BE10  446 Extrapolation       0 16.703899 13.407163 20.000634
## 35         BE10  460 Extrapolation       0 16.776548 13.402687 20.150409
## 36         BE10  474 Extrapolation       0 16.843658 13.392824 20.294491
## 37         BE10  488 Extrapolation       0 16.905650 13.378119 20.433180
## 38         BE10  502 Extrapolation       0 16.962915 13.359074 20.566756
## 39         BE10  516 Extrapolation       0 17.015813 13.336148 20.695477
## 40         BE10  530 Extrapolation       0 17.064677 13.309766 20.819587
## 41         BE11    1   Rarefaction       0  1.000000  1.000000  1.000000
## 42         BE11   24   Rarefaction       0 12.039825 11.400377 12.679273
## 43         BE11   47   Rarefaction       0 17.059840 16.068708 18.050973
## 44         BE11   71   Rarefaction       0 20.301219 19.048059 21.554378
## 45         BE11   94   Rarefaction       0 22.469926 21.013532 23.926321
## 46         BE11  117   Rarefaction       0 24.094760 22.453193 25.736327
## 47         BE11  141   Rarefaction       0 25.411433 23.581111 27.241755
## 48         BE11  164   Rarefaction       0 26.423742 24.411037 28.436447
## 49         BE11  188   Rarefaction       0 27.295731 25.089647 29.501815
## 50         BE11  211   Rarefaction       0 28.002310 25.608387 30.396233
## 51         BE11  234   Rarefaction       0 28.614707 26.031356 31.198058
## 52         BE11  258   Rarefaction       0 29.177696 26.395774 31.959617
## 53         BE11  281   Rarefaction       0 29.661529 26.688868 32.634189
## 54         BE11  305   Rarefaction       0 30.121871 26.949828 33.293914
## 55         BE11  328   Rarefaction       0 30.530064 27.166470 33.893657
## 56         BE11  351   Rarefaction       0 30.913169 27.357267 34.469071
## 57         BE11  375   Rarefaction       0 31.291853 27.534061 35.049645
## 58         BE11  398   Rarefaction       0 31.638444 27.685553 35.591335
## 59         BE11  422   Rarefaction       0 31.985816 27.827131 36.144500
## 60         BE11  423      Observed       0 32.000000 27.832683 36.167317
## 61         BE11  424 Extrapolation       0 32.014162 27.838207 36.190117
## 62         BE11  446 Extrapolation       0 32.320137 27.952708 36.687566
## 63         BE11  468 Extrapolation       0 32.615669 28.054231 37.177106
## 64         BE11  490 Extrapolation       0 32.901113 28.143504 37.658722
## 65         BE11  512 Extrapolation       0 33.176815 28.221283 38.132348
## 66         BE11  535 Extrapolation       0 33.454993 28.291133 38.618853
## 67         BE11  557 Extrapolation       0 33.711790 28.347759 39.075821
## 68         BE11  579 Extrapolation       0 33.959822 28.395156 39.524488
## 69         BE11  601 Extrapolation       0 34.199389 28.434010 39.964767
## 70         BE11  623 Extrapolation       0 34.430778 28.464965 40.396591
## 71         BE11  646 Extrapolation       0 34.664246 28.489532 40.838959
## 72         BE11  668 Extrapolation       0 34.879769 28.506152 41.253387
## 73         BE11  690 Extrapolation       0 35.087936 28.516564 41.659309
## 74         BE11  712 Extrapolation       0 35.288999 28.521242 42.056756
## 75         BE11  734 Extrapolation       0 35.483198 28.520617 42.445779
## 76         BE11  757 Extrapolation       0 35.679142 28.514728 42.843555
## 77         BE11  779 Extrapolation       0 35.860025 28.504466 43.215584
## 78         BE11  801 Extrapolation       0 36.034734 28.490018 43.579450
## 79         BE11  823 Extrapolation       0 36.203481 28.471694 43.935267
## 80         BE11  846 Extrapolation       0 36.373742 28.448701 44.298784
## 81         BE12    1   Rarefaction       0  1.000000  1.000000  1.000000
## 82         BE12   12   Rarefaction       0  7.345013  6.830559  7.859468
## 83         BE12   24   Rarefaction       0 10.836125  9.931544 11.740706
## 84         BE12   35   Rarefaction       0 12.944978 11.801272 14.088683
## 85         BE12   47   Rarefaction       0 14.630594 13.311285 15.949904
## 86         BE12   58   Rarefaction       0 15.821994 14.393921 17.250067
## 87         BE12   70   Rarefaction       0 16.854248 15.344277 18.364218
## 88         BE12   81   Rarefaction       0 17.616638 16.053671 19.179605
## 89         BE12   93   Rarefaction       0 18.293314 16.688369 19.898260
## 90         BE12  104   Rarefaction       0 18.800803 17.167193 20.434413
## 91         BE12  116   Rarefaction       0 19.256608 17.598873 20.914343
## 92         BE12  127   Rarefaction       0 19.602546 17.926933 21.278159
## 93         BE12  139   Rarefaction       0 19.917558 18.224991 21.610125
## 94         BE12  150   Rarefaction       0 20.160627 18.453274 21.867979
## 95         BE12  162   Rarefaction       0 20.386195 18.661935 22.110455
## 96         BE12  173   Rarefaction       0 20.563733 18.821938 22.305529
## 97         BE12  185   Rarefaction       0 20.731389 18.966835 22.495943
## 98         BE12  196   Rarefaction       0 20.864776 19.074831 22.654721
## 99         BE12  208   Rarefaction       0 20.990431 19.166536 22.814326
## 100        BE12  209      Observed       0 21.000000 19.172940 22.827060
## 101        BE12  210 Extrapolation       0 21.009433 19.179165 22.839702
## 102        BE12  220 Extrapolation       0 21.096696 19.231891 22.961500
## 103        BE12  231 Extrapolation       0 21.179299 19.271298 23.087299
## 104        BE12  242 Extrapolation       0 21.249863 19.293451 23.206275
## 105        BE12  253 Extrapolation       0 21.310144 19.300639 23.319648
## 106        BE12  264 Extrapolation       0 21.361639 19.295031 23.428246
## 107        BE12  275 Extrapolation       0 21.405629 19.278615 23.532643
## 108        BE12  286 Extrapolation       0 21.443208 19.253167 23.633249
## 109        BE12  297 Extrapolation       0 21.475310 19.220248 23.730372
## 110        BE12  308 Extrapolation       0 21.502734 19.181212 23.824255
## 111        BE12  319 Extrapolation       0 21.526160 19.137227 23.915094
## 112        BE12  330 Extrapolation       0 21.546173 19.089288 24.003058
## 113        BE12  341 Extrapolation       0 21.563269 19.038245 24.088293
## 114        BE12  352 Extrapolation       0 21.577873 18.984815 24.170932
## 115        BE12  363 Extrapolation       0 21.590349 18.929603 24.251096
## 116        BE12  374 Extrapolation       0 21.601007 18.873120 24.328893
## 117        BE12  385 Extrapolation       0 21.610111 18.815795 24.404428
## 118        BE12  396 Extrapolation       0 21.617889 18.757984 24.477794
## 119        BE12  407 Extrapolation       0 21.624533 18.699987 24.549079
## 120        BE12  418 Extrapolation       0 21.630209 18.642052 24.618365
## 121        BE13    1   Rarefaction       0  1.000000  1.000000  1.000000
## 122        BE13   19   Rarefaction       0 12.630236 12.153569 13.106902
## 123        BE13   37   Rarefaction       0 18.418019 17.438270 19.397768
## 124        BE13   56   Rarefaction       0 22.229059 20.834974 23.623144
## 125        BE13   74   Rarefaction       0 24.851477 23.118451 26.584502
## 126        BE13   92   Rarefaction       0 26.959730 24.919157 29.000302
## 127        BE13  111   Rarefaction       0 28.848596 26.510790 31.186402
## 128        BE13  129   Rarefaction       0 30.427141 27.829404 33.024878
## 129        BE13  148   Rarefaction       0 31.933919 29.079909 34.787930
## 130        BE13  166   Rarefaction       0 33.243929 30.160051 36.327806
## 131        BE13  184   Rarefaction       0 34.459533 31.154815 37.764251
## 132        BE13  203   Rarefaction       0 35.654192 32.123044 39.185341
## 133        BE13  221   Rarefaction       0 36.711440 32.969754 40.453126
## 134        BE13  240   Rarefaction       0 37.756304 33.794538 41.718071
## 135        BE13  258   Rarefaction       0 38.684490 34.514658 42.854321
## 136        BE13  276   Rarefaction       0 39.557362 35.178481 43.936243
## 137        BE13  295   Rarefaction       0 40.423182 35.821119 45.025246
## 138        BE13  313   Rarefaction       0 41.194588 36.377339 46.011837
## 139        BE13  332   Rarefaction       0 41.960961 36.911129 47.010793
## 140        BE13  333      Observed       0 42.000000 36.937743 47.062257
## 141        BE13  334 Extrapolation       0 42.038913 36.964210 47.113615
## 142        BE13  351 Extrapolation       0 42.681509 37.392183 47.970835
## 143        BE13  368 Extrapolation       0 43.289684 37.780007 48.799360
## 144        BE13  386 Extrapolation       0 43.898162 38.149245 49.647080
## 145        BE13  403 Extrapolation       0 44.441165 38.461208 50.421123
## 146        BE13  421 Extrapolation       0 44.984440 38.755166 51.213714
## 147        BE13  438 Extrapolation       0 45.469255 39.000816 51.937694
## 148        BE13  456 Extrapolation       0 45.954312 39.229535 52.679089
## 149        BE13  473 Extrapolation       0 46.387175 39.418114 53.356236
## 150        BE13  491 Extrapolation       0 46.820254 39.590991 54.049516
## 151        BE13  508 Extrapolation       0 47.206731 39.730926 54.682535
## 152        BE13  526 Extrapolation       0 47.593401 39.856371 55.330432
## 153        BE13  543 Extrapolation       0 47.938464 39.955102 55.921825
## 154        BE13  561 Extrapolation       0 48.283699 40.040458 56.526939
## 155        BE13  578 Extrapolation       0 48.591784 40.104434 57.079135
## 156        BE13  596 Extrapolation       0 48.900024 40.156033 57.644016
## 157        BE13  613 Extrapolation       0 49.175096 40.190789 58.159403
## 158        BE13  631 Extrapolation       0 49.450305 40.214053 58.686556
## 159        BE13  648 Extrapolation       0 49.695900 40.224324 59.167476
## 160        BE13  666 Extrapolation       0 49.941617 40.223886 59.659349
## 161        BE14    1   Rarefaction       0  1.000000  1.000000  1.000000
## 162        BE14   20   Rarefaction       0 13.090894 12.457272 13.724515
## 163        BE14   40   Rarefaction       0 19.715451 18.447781 20.983120
## 164        BE14   60   Rarefaction       0 24.044829 22.293416 25.796242
## 165        BE14   79   Rarefaction       0 27.113808 24.996890 29.230727
## 166        BE14   99   Rarefaction       0 29.707403 27.262894 32.151912
## 167        BE14  119   Rarefaction       0 31.874377 29.133053 34.615701
## 168        BE14  138   Rarefaction       0 33.653495 30.644732 36.662259
## 169        BE14  158   Rarefaction       0 35.306797 32.024818 38.588775
## 170        BE14  178   Rarefaction       0 36.786473 33.236783 40.336163
## 171        BE14  197   Rarefaction       0 38.065288 34.265425 41.865150
## 172        BE14  217   Rarefaction       0 39.303941 35.244962 43.362921
## 173        BE14  237   Rarefaction       0 40.452149 36.138484 44.765814
## 174        BE14  256   Rarefaction       0 41.472750 36.921287 46.024213
## 175        BE14  276   Rarefaction       0 42.483624 37.686086 47.281161
## 176        BE14  296   Rarefaction       0 43.437131 38.397496 48.476766
## 177        BE14  315   Rarefaction       0 44.294857 39.028354 49.561359
## 178        BE14  335   Rarefaction       0 45.150687 39.647879 50.653495
## 179        BE14  355   Rarefaction       0 45.960674 40.223146 51.698203
## 180        BE14  356      Observed       0 46.000000 40.250757 51.749243
## 181        BE14  357 Extrapolation       0 46.039215 40.278259 51.800172
## 182        BE14  375 Extrapolation       0 46.726552 40.754669 52.698435
## 183        BE14  394 Extrapolation       0 47.415292 41.219750 53.610835
## 184        BE14  413 Extrapolation       0 48.068189 41.646932 54.489446
## 185        BE14  431 Extrapolation       0 48.655350 42.017719 55.292981
## 186        BE14  450 Extrapolation       0 49.243710 42.374601 56.112819
## 187        BE14  469 Extrapolation       0 49.801451 42.697520 56.905381
## 188        BE14  487 Extrapolation       0 50.303037 42.973574 57.632499
## 189        BE14  506 Extrapolation       0 50.805647 43.235042 58.376251
## 190        BE14  525 Extrapolation       0 51.282100 43.467465 59.096734
## 191        BE14  543 Extrapolation       0 51.710582 43.662422 59.758742
## 192        BE14  562 Extrapolation       0 52.139940 43.843201 60.436679
## 193        BE14  581 Extrapolation       0 52.546952 43.999927 61.093978
## 194        BE14  599 Extrapolation       0 52.912986 44.127675 61.698297
## 195        BE14  618 Extrapolation       0 53.279767 44.242119 62.317415
## 196        BE14  637 Extrapolation       0 53.627460 44.337060 62.917860
## 197        BE14  655 Extrapolation       0 53.940146 44.410285 63.470008
## 198        BE14  674 Extrapolation       0 54.253471 44.471199 64.035743
## 199        BE14  693 Extrapolation       0 54.550490 44.516521 64.584459
## 200        BE14  712 Extrapolation       0 54.832051 44.547426 65.116675
## 201        BE15    1   Rarefaction       0  1.000000  1.000000  1.000000
## 202        BE15    9   Rarefaction       0  7.814112  7.558233  8.069990
## 203        BE15   18   Rarefaction       0 13.581021 12.822305 14.339738
## 204        BE15   26   Rarefaction       0 17.562965 16.341698 18.784231
## 205        BE15   35   Rarefaction       0 21.159334 19.455194 22.863473
## 206        BE15   44   Rarefaction       0 24.092468 21.954108 26.230828
## 207        BE15   52   Rarefaction       0 26.293249 23.807005 28.779494
## 208        BE15   61   Rarefaction       0 28.424764 25.584613 31.264915
## 209        BE15   69   Rarefaction       0 30.080357 26.954365 33.206348
## 210        BE15   78   Rarefaction       0 31.730038 28.309950 35.150125
## 211        BE15   87   Rarefaction       0 33.197592 29.507924 36.887261
## 212        BE15   95   Rarefaction       0 34.376523 30.464412 38.288634
## 213        BE15  104   Rarefaction       0 35.585023 31.438640 39.731405
## 214        BE15  112   Rarefaction       0 36.570246 32.227273 40.913218
## 215        BE15  121   Rarefaction       0 37.593139 33.039407 42.146872
## 216        BE15  130   Rarefaction       0 38.537964 33.781825 43.294103
## 217        BE15  138   Rarefaction       0 39.320806 34.389621 44.251992
## 218        BE15  147   Rarefaction       0 40.145276 35.020267 45.270286
## 219        BE15  156   Rarefaction       0 40.917197 35.599109 46.235286
## 220        BE15  157      Observed       0 41.000000 35.660387 46.339613
## 221        BE15  158 Extrapolation       0 41.082235 35.721070 46.443400
## 222        BE15  166 Extrapolation       0 41.720138 36.185125 47.255151
## 223        BE15  174 Extrapolation       0 42.323882 36.611422 48.036341
## 224        BE15  182 Extrapolation       0 42.895295 37.000680 48.789910
## 225        BE15  190 Extrapolation       0 43.436109 37.353970 49.518248
## 226        BE15  199 Extrapolation       0 44.009986 37.710124 50.309847
## 227        BE15  207 Extrapolation       0 44.491108 37.991743 50.990473
## 228        BE15  215 Extrapolation       0 44.946466 38.242245 51.650687
## 229        BE15  223 Extrapolation       0 45.377440 38.463430 52.291451
## 230        BE15  231 Extrapolation       0 45.785336 38.657118 52.913553
## 231        BE15  240 Extrapolation       0 46.218168 38.844403 53.591932
## 232        BE15  248 Extrapolation       0 46.581042 38.985616 54.176468
## 233        BE15  256 Extrapolation       0 46.924485 39.104818 54.744151
## 234        BE15  264 Extrapolation       0 47.249536 39.203624 55.295447
## 235        BE15  272 Extrapolation       0 47.557180 39.283560 55.830800
## 236        BE15  281 Extrapolation       0 47.883633 39.352718 56.414548
## 237        BE15  289 Extrapolation       0 48.157322 39.397210 56.917433
## 238        BE15  297 Extrapolation       0 48.416355 39.427019 57.405690
## 239        BE15  305 Extrapolation       0 48.661516 39.443301 57.879732
## 240        BE15  314 Extrapolation       0 48.921666 39.446783 58.396549
## 241        BE16    1   Rarefaction       0  1.000000  1.000000  1.000000
## 242        BE16   20   Rarefaction       0  9.838871  9.183518 10.494223
## 243        BE16   39   Rarefaction       0 13.870646 12.835427 14.905865
## 244        BE16   58   Rarefaction       0 16.410256 15.154447 17.666065
## 245        BE16   77   Rarefaction       0 18.170957 16.764240 19.577674
## 246        BE16   97   Rarefaction       0 19.523013 17.990942 21.055084
## 247        BE16  116   Rarefaction       0 20.500838 18.863683 22.137993
## 248        BE16  135   Rarefaction       0 21.275369 19.539219 23.011518
## 249        BE16  154   Rarefaction       0 21.904830 20.072781 23.736878
## 250        BE16  174   Rarefaction       0 22.452784 20.521900 24.383668
## 251        BE16  193   Rarefaction       0 22.891794 20.868653 24.914936
## 252        BE16  212   Rarefaction       0 23.270094 21.156257 25.383931
## 253        BE16  231   Rarefaction       0 23.600869 21.398001 25.803736
## 254        BE16  250   Rarefaction       0 23.893699 21.603607 26.183790
## 255        BE16  270   Rarefaction       0 24.168590 21.788771 26.548409
## 256        BE16  289   Rarefaction       0 24.403287 21.940271 26.866303
## 257        BE16  308   Rarefaction       0 24.615804 22.071535 27.160074
## 258        BE16  327   Rarefaction       0 24.808491 22.184725 27.432257
## 259        BE16  347   Rarefaction       0 24.991379 22.285432 27.697326
## 260        BE16  348      Observed       0 25.000000 22.289974 27.710026
## 261        BE16  349 Extrapolation       0 25.008571 22.294296 27.722847
## 262        BE16  367 Extrapolation       0 25.154722 22.364373 27.945071
## 263        BE16  385 Extrapolation       0 25.286509 22.420742 28.152275
## 264        BE16  403 Extrapolation       0 25.405344 22.464842 28.345846
## 265        BE16  422 Extrapolation       0 25.518135 22.499665 28.536605
## 266        BE16  440 Extrapolation       0 25.614207 22.522958 28.705455
## 267        BE16  458 Extrapolation       0 25.700837 22.538073 28.863601
## 268        BE16  476 Extrapolation       0 25.778953 22.546115 29.011791
## 269        BE16  495 Extrapolation       0 25.853096 22.548016 29.158176
## 270        BE16  513 Extrapolation       0 25.916248 22.544485 29.288012
## 271        BE16  531 Extrapolation       0 25.973195 22.536544 29.409845
## 272        BE16  549 Extrapolation       0 26.024544 22.524861 29.524227
## 273        BE16  568 Extrapolation       0 26.073282 22.509119 29.637445
## 274        BE16  586 Extrapolation       0 26.114795 22.491510 29.738080
## 275        BE16  604 Extrapolation       0 26.152228 22.471733 29.832724
## 276        BE16  622 Extrapolation       0 26.185983 22.450178 29.921788
## 277        BE16  641 Extrapolation       0 26.218021 22.425871 30.010170
## 278        BE16  659 Extrapolation       0 26.245309 22.401679 30.088939
## 279        BE16  677 Extrapolation       0 26.269916 22.376613 30.163219
## 280        BE16  696 Extrapolation       0 26.293271 22.349452 30.237091
## 281        BE17    1   Rarefaction       0  1.000000  1.000000  1.000000
## 282        BE17   12   Rarefaction       0  9.239218  8.878984  9.599452
## 283        BE17   24   Rarefaction       0 14.739250 13.878007 15.600493
## 284        BE17   35   Rarefaction       0 18.171689 16.958389 19.384988
## 285        BE17   47   Rarefaction       0 20.939536 19.455267 22.423805
## 286        BE17   58   Rarefaction       0 22.907156 21.249186 24.565125
## 287        BE17   70   Rarefaction       0 24.622764 22.828103 26.417424
## 288        BE17   81   Rarefaction       0 25.898287 24.008326 27.788249
## 289        BE17   93   Rarefaction       0 27.036050 25.061014 29.011086
## 290        BE17  104   Rarefaction       0 27.890092 25.846408 29.933776
## 291        BE17  116   Rarefaction       0 28.652185 26.538127 30.766243
## 292        BE17  127   Rarefaction       0 29.220580 27.043098 31.398061
## 293        BE17  139   Rarefaction       0 29.721365 27.473999 31.968731
## 294        BE17  150   Rarefaction       0 30.087637 27.774862 32.400412
## 295        BE17  162   Rarefaction       0 30.401422 28.015732 32.787112
## 296        BE17  173   Rarefaction       0 30.621954 28.168274 33.075634
## 297        BE17  185   Rarefaction       0 30.800304 28.271642 33.328966
## 298        BE17  196   Rarefaction       0 30.915086 28.317256 33.512916
## 299        BE17  208   Rarefaction       0 30.995215 28.321504 33.668927
## 300        BE17  209      Observed       0 31.000000 28.319936 33.680064
## 301        BE17  210 Extrapolation       0 31.004524 28.318107 33.690941
## 302        BE17  220 Extrapolation       0 31.038186 28.287960 33.788412
## 303        BE17  231 Extrapolation       0 31.058789 28.236961 33.880618
## 304        BE17  242 Extrapolation       0 31.069907 28.174235 33.965578
## 305        BE17  253 Extrapolation       0 31.075905 28.103886 34.047924
## 306        BE17  264 Extrapolation       0 31.079142 28.028368 34.129915
## 307        BE17  275 Extrapolation       0 31.080888 27.949268 34.212508
## 308        BE17  286 Extrapolation       0 31.081830 27.867695 34.295966
## 309        BE17  297 Extrapolation       0 31.082339 27.784480 34.380198
## 310        BE17  308 Extrapolation       0 31.082613 27.700276 34.464951
## 311        BE17  319 Extrapolation       0 31.082761 27.615609 34.549914
## 312        BE17  330 Extrapolation       0 31.082841 27.530909 34.634773
## 313        BE17  341 Extrapolation       0 31.082884 27.446529 34.719239
## 314        BE17  352 Extrapolation       0 31.082907 27.362755 34.803059
## 315        BE17  363 Extrapolation       0 31.082920 27.279820 34.886020
## 316        BE17  374 Extrapolation       0 31.082927 27.197909 34.967944
## 317        BE17  385 Extrapolation       0 31.082930 27.117168 35.048692
## 318        BE17  396 Extrapolation       0 31.082932 27.037711 35.128154
## 319        BE17  407 Extrapolation       0 31.082933 26.959623 35.206244
## 320        BE17  418 Extrapolation       0 31.082934 26.882966 35.282902
## 321        BE18    1   Rarefaction       0  1.000000  1.000000  1.000000
## 322        BE18   21   Rarefaction       0 12.112884 11.498422 12.727345
## 323        BE18   41   Rarefaction       0 18.210635 17.078680 19.342590
## 324        BE18   62   Rarefaction       0 22.736555 21.108750 24.364360
## 325        BE18   82   Rarefaction       0 26.072384 24.011282 28.133487
## 326        BE18  103   Rarefaction       0 28.939061 26.461309 31.416813
## 327        BE18  123   Rarefaction       0 31.252803 28.408752 34.096854
## 328        BE18  144   Rarefaction       0 33.362580 30.158229 36.566932
## 329        BE18  164   Rarefaction       0 35.137727 31.606829 38.668624
## 330        BE18  185   Rarefaction       0 36.807405 32.945545 40.669266
## 331        BE18  205   Rarefaction       0 38.247899 34.078407 42.417391
## 332        BE18  225   Rarefaction       0 39.568693 35.096374 44.041012
## 333        BE18  246   Rarefaction       0 40.848993 36.061961 45.636024
## 334        BE18  266   Rarefaction       0 41.984018 36.899066 47.068970
## 335        BE18  287   Rarefaction       0 43.102250 37.705321 48.499179
## 336        BE18  307   Rarefaction       0 44.108755 38.414644 49.802865
## 337        BE18  328   Rarefaction       0 45.114332 39.107197 51.121468
## 338        BE18  348   Rarefaction       0 46.030936 39.723778 52.338093
## 339        BE18  369   Rarefaction       0 46.956757 40.331357 53.582157
## 340        BE18  370      Observed       0 47.000000 40.359339 53.640661
## 341        BE18  371 Extrapolation       0 47.043170 40.387237 53.699103
## 342        BE18  390 Extrapolation       0 47.849673 40.901512 54.797834
## 343        BE18  409 Extrapolation       0 48.630655 41.386394 55.874917
## 344        BE18  429 Extrapolation       0 49.426060 41.866075 56.986044
## 345        BE18  448 Extrapolation       0 50.157161 42.293634 58.020688
## 346        BE18  468 Extrapolation       0 50.901762 42.715252 59.088273
## 347        BE18  487 Extrapolation       0 51.586168 43.089895 60.082441
## 348        BE18  506 Extrapolation       0 52.248917 43.440416 61.057418
## 349        BE18  526 Extrapolation       0 52.923905 43.784519 62.063290
## 350        BE18  545 Extrapolation       0 53.544324 44.088904 62.999743
## 351        BE18  565 Extrapolation       0 54.176200 44.386774 63.965626
## 352        BE18  584 Extrapolation       0 54.756993 44.649386 64.864600
## 353        BE18  604 Extrapolation       0 55.348510 44.905459 65.791562
## 354        BE18  623 Extrapolation       0 55.892208 45.130346 66.654070
## 355        BE18  642 Extrapolation       0 56.418702 45.338214 67.499190
## 356        BE18  662 Extrapolation       0 56.954917 45.539549 68.370286
## 357        BE18  681 Extrapolation       0 57.447784 45.715045 69.180523
## 358        BE18  701 Extrapolation       0 57.949751 45.884011 70.015492
## 359        BE18  720 Extrapolation       0 58.411138 46.030292 70.791984
## 360        BE18  740 Extrapolation       0 58.881045 46.170038 71.592052
## 361        BE19    1   Rarefaction       0  1.000000  1.000000  1.000000
## 362        BE19   20   Rarefaction       0 11.653124 11.053343 12.252904
## 363        BE19   39   Rarefaction       0 17.536342 16.549359 18.523324
## 364        BE19   58   Rarefaction       0 21.624550 20.363296 22.885805
## 365        BE19   77   Rarefaction       0 24.681593 23.210398 26.152788
## 366        BE19   96   Rarefaction       0 27.060479 25.428817 28.692140
## 367        BE19  115   Rarefaction       0 28.957737 27.203562 30.711911
## 368        BE19  134   Rarefaction       0 30.494614 28.644501 32.344728
## 369        BE19  153   Rarefaction       0 31.751758 29.822533 33.680982
## 370        BE19  172   Rarefaction       0 32.786321 30.787459 34.785184
## 371        BE19  191   Rarefaction       0 33.640998 31.576906 35.705090
## 372        BE19  210   Rarefaction       0 34.349033 32.220848 36.477219
## 373        BE19  229   Rarefaction       0 34.937175 32.743980 37.130369
## 374        BE19  248   Rarefaction       0 35.427491 33.167059 37.687923
## 375        BE19  267   Rarefaction       0 35.838555 33.507734 38.169376
## 376        BE19  286   Rarefaction       0 36.186226 33.781100 38.591352
## 377        BE19  305   Rarefaction       0 36.484182 34.000098 38.968267
## 378        BE19  324   Rarefaction       0 36.744274 34.175781 39.312767
## 379        BE19  344   Rarefaction       0 36.988406 34.324179 39.652632
## 380        BE19  345      Observed       0 37.000000 34.330781 39.669219
## 381        BE19  346 Extrapolation       0 37.011544 34.337314 39.685774
## 382        BE19  364 Extrapolation       0 37.210970 34.443495 39.978446
## 383        BE19  382 Extrapolation       0 37.395374 34.529319 40.261430
## 384        BE19  400 Extrapolation       0 37.565887 34.596752 40.535023
## 385        BE19  418 Extrapolation       0 37.723556 34.647797 40.799314
## 386        BE19  436 Extrapolation       0 37.869347 34.684381 41.054312
## 387        BE19  454 Extrapolation       0 38.004156 34.708295 41.300017
## 388        BE19  472 Extrapolation       0 38.128809 34.721161 41.536457
## 389        BE19  490 Extrapolation       0 38.244073 34.724433 41.763713
## 390        BE19  508 Extrapolation       0 38.350654 34.719396 41.981912
## 391        BE19  527 Extrapolation       0 38.454458 34.706310 42.202607
## 392        BE19  545 Extrapolation       0 38.545191 34.687586 42.402796
## 393        BE19  563 Extrapolation       0 38.629089 34.663582 42.594595
## 394        BE19  581 Extrapolation       0 38.706667 34.635050 42.778283
## 395        BE19  599 Extrapolation       0 38.778401 34.602644 42.954157
## 396        BE19  617 Extrapolation       0 38.844731 34.566937 43.122525
## 397        BE19  635 Extrapolation       0 38.906065 34.528427 43.283702
## 398        BE19  653 Extrapolation       0 38.962778 34.487553 43.438004
## 399        BE19  671 Extrapolation       0 39.015219 34.444697 43.585742
## 400        BE19  690 Extrapolation       0 39.066295 34.397680 43.734909
## 401         BE2    1   Rarefaction       0  1.000000  1.000000  1.000000
## 402         BE2   25   Rarefaction       0 13.023076 12.447839 13.598313
## 403         BE2   49   Rarefaction       0 17.407399 16.401713 18.413085
## 404         BE2   73   Rarefaction       0 19.980530 18.663988 21.297071
## 405         BE2   97   Rarefaction       0 21.838222 20.261079 23.415365
## 406         BE2  121   Rarefaction       0 23.304229 21.502150 25.106309
## 407         BE2  145   Rarefaction       0 24.518636 22.523011 26.514261
## 408         BE2  169   Rarefaction       0 25.557721 23.395004 27.720439
## 409         BE2  193   Rarefaction       0 26.467683 24.158781 28.776585
## 410         BE2  217   Rarefaction       0 27.278150 24.838770 29.717531
## 411         BE2  241   Rarefaction       0 28.008871 25.450271 30.567472
## 412         BE2  265   Rarefaction       0 28.673349 26.003145 31.343552
## 413         BE2  289   Rarefaction       0 29.280941 26.503846 32.058037
## 414         BE2  313   Rarefaction       0 29.838156 26.956600 32.719712
## 415         BE2  337   Rarefaction       0 30.349501 27.364176 33.334827
## 416         BE2  361   Rarefaction       0 30.818092 27.728392 33.907792
## 417         BE2  385   Rarefaction       0 31.246090 28.050482 34.441699
## 418         BE2  409   Rarefaction       0 31.635050 28.331344 34.938757
## 419         BE2  433   Rarefaction       0 31.986175 28.571705 35.400645
## 420         BE2  434      Observed       0 32.000000 28.580851 35.419149
## 421         BE2  435 Extrapolation       0 32.013761 28.589928 35.437594
## 422         BE2  457 Extrapolation       0 32.301007 28.772679 35.829334
## 423         BE2  480 Extrapolation       0 32.571742 28.931042 36.212441
## 424         BE2  503 Extrapolation       0 32.815250 29.058947 36.571552
## 425         BE2  526 Extrapolation       0 33.034269 29.159324 36.909214
## 426         BE2  548 Extrapolation       0 33.223124 29.232150 37.214098
## 427         BE2  571 Extrapolation       0 33.401124 29.286565 37.515684
## 428         BE2  594 Extrapolation       0 33.561224 29.321153 37.801294
## 429         BE2  617 Extrapolation       0 33.705222 29.338123 38.072322
## 430         BE2  640 Extrapolation       0 33.834739 29.339476 38.330003
## 431         BE2  662 Extrapolation       0 33.946419 29.327827 38.565011
## 432         BE2  685 Extrapolation       0 34.051680 29.303687 38.799672
## 433         BE2  708 Extrapolation       0 34.146354 29.268757 39.023951
## 434         BE2  731 Extrapolation       0 34.231508 29.224346 39.238670
## 435         BE2  754 Extrapolation       0 34.308098 29.171618 39.444577
## 436         BE2  776 Extrapolation       0 34.374140 29.114361 39.633918
## 437         BE2  799 Extrapolation       0 34.436386 29.048262 39.824509
## 438         BE2  822 Extrapolation       0 34.492372 28.976599 40.008144
## 439         BE2  845 Extrapolation       0 34.542727 28.900108 40.185346
## 440         BE2  868 Extrapolation       0 34.588019 28.819443 40.356595
## 441        BE20    1   Rarefaction       0  1.000000  1.000000  1.000000
## 442        BE20    9   Rarefaction       0  4.998871  4.442656  5.555086
## 443        BE20   17   Rarefaction       0  7.549573  6.643401  8.455744
## 444        BE20   25   Rarefaction       0  9.491694  8.275984 10.707403
## 445        BE20   33   Rarefaction       0 11.025323  9.520022 12.530624
## 446        BE20   41   Rarefaction       0 12.273575 10.491448 14.055702
## 447        BE20   50   Rarefaction       0 13.433704 11.348196 15.519212
## 448        BE20   58   Rarefaction       0 14.304538 11.951970 16.657107
## 449        BE20   66   Rarefaction       0 15.061033 12.441283 17.680783
## 450        BE20   74   Rarefaction       0 15.728438 12.840163 18.616713
## 451        BE20   82   Rarefaction       0 16.325805 13.167271 19.484340
## 452        BE20   90   Rarefaction       0 16.867926 13.437545 20.298307
## 453        BE20   99   Rarefaction       0 17.426259 13.688716 21.163802
## 454        BE20  107   Rarefaction       0 17.886975 13.875859 21.898091
## 455        BE20  115   Rarefaction       0 18.321915 14.037335 22.606494
## 456        BE20  123   Rarefaction       0 18.737000 14.179591 23.294409
## 457        BE20  131   Rarefaction       0 19.136982 14.307792 23.966172
## 458        BE20  139   Rarefaction       0 19.525643 14.426001 24.625286
## 459        BE20  148   Rarefaction       0 19.953020 14.550866 25.355174
## 460        BE20  149      Observed       0 20.000000 14.564349 25.435651
## 461        BE20  150 Extrapolation       0 20.046889 14.577762 25.516017
## 462        BE20  157 Extrapolation       0 20.372595 14.669749 26.075440
## 463        BE20  165 Extrapolation       0 20.739485 14.770842 26.708128
## 464        BE20  173 Extrapolation       0 21.100758 14.867684 27.333832
## 465        BE20  181 Extrapolation       0 21.456499 14.960311 27.952688
## 466        BE20  188 Extrapolation       0 21.763302 15.037921 28.488683
## 467        BE20  196 Extrapolation       0 22.108900 15.122707 29.095092
## 468        BE20  204 Extrapolation       0 22.449206 15.203341 29.695070
## 469        BE20  212 Extrapolation       0 22.784301 15.279846 30.288756
## 470        BE20  220 Extrapolation       0 23.114267 15.352250 30.876283
## 471        BE20  227 Extrapolation       0 23.398839 15.412265 31.385413
## 472        BE20  235 Extrapolation       0 23.719395 15.477074 31.961717
## 473        BE20  243 Extrapolation       0 24.035044 15.537893 32.532194
## 474        BE20  251 Extrapolation       0 24.345859 15.594773 33.096945
## 475        BE20  259 Extrapolation       0 24.651916 15.647770 33.656061
## 476        BE20  266 Extrapolation       0 24.915869 15.691003 34.140734
## 477        BE20  274 Extrapolation       0 25.213198 15.736884 34.689512
## 478        BE20  282 Extrapolation       0 25.505975 15.779065 35.232885
## 479        BE20  290 Extrapolation       0 25.794270 15.817619 35.770921
## 480        BE20  298 Extrapolation       0 26.078150 15.852618 36.303683
## 481        BE21    1   Rarefaction       0  1.000000  1.000000  1.000000
## 482        BE21   21   Rarefaction       0 13.115679 12.635772 13.595586
## 483        BE21   42   Rarefaction       0 19.201210 18.333204 20.069216
## 484        BE21   63   Rarefaction       0 22.873653 21.719509 24.027796
## 485        BE21   83   Rarefaction       0 25.261995 23.880768 26.643222
## 486        BE21  104   Rarefaction       0 27.101914 25.508820 28.695007
## 487        BE21  125   Rarefaction       0 28.509440 26.720866 30.298013
## 488        BE21  145   Rarefaction       0 29.577591 27.613331 31.541852
## 489        BE21  166   Rarefaction       0 30.494988 28.354943 32.635032
## 490        BE21  187   Rarefaction       0 31.257564 28.949275 33.565853
## 491        BE21  207   Rarefaction       0 31.874714 29.412187 34.337241
## 492        BE21  228   Rarefaction       0 32.434287 29.815042 35.053532
## 493        BE21  249   Rarefaction       0 32.922967 30.151193 35.694742
## 494        BE21  269   Rarefaction       0 33.336297 30.421960 36.250633
## 495        BE21  290   Rarefaction       0 33.726760 30.664217 36.789303
## 496        BE21  311   Rarefaction       0 34.081608 30.870884 37.292331
## 497        BE21  331   Rarefaction       0 34.393189 31.039905 37.746473
## 498        BE21  352   Rarefaction       0 34.698527 31.192473 38.204581
## 499        BE21  373   Rarefaction       0 34.986631 31.323036 38.650226
## 500        BE21  374      Observed       0 35.000000 31.328756 38.671244
## 501        BE21  375 Extrapolation       0 35.013340 31.334433 38.692248
## 502        BE21  394 Extrapolation       0 35.261452 31.434108 39.088796
## 503        BE21  414 Extrapolation       0 35.511937 31.522701 39.501174
## 504        BE21  433 Extrapolation       0 35.740160 31.592109 39.888211
## 505        BE21  453 Extrapolation       0 35.970566 31.650563 40.290569
## 506        BE21  473 Extrapolation       0 36.191308 31.695048 40.687568
## 507        BE21  492 Extrapolation       0 36.392431 31.725328 41.059534
## 508        BE21  512 Extrapolation       0 36.595478 31.745581 41.445374
## 509        BE21  532 Extrapolation       0 36.790008 31.754899 41.825117
## 510        BE21  551 Extrapolation       0 36.967249 31.754485 42.180013
## 511        BE21  571 Extrapolation       0 37.146186 31.745144 42.547227
## 512        BE21  590 Extrapolation       0 37.309219 31.728547 42.889890
## 513        BE21  610 Extrapolation       0 37.473812 31.703676 43.243948
## 514        BE21  630 Extrapolation       0 37.631501 31.671899 43.591103
## 515        BE21  649 Extrapolation       0 37.775175 31.635897 43.914453
## 516        BE21  669 Extrapolation       0 37.920223 31.592441 44.248006
## 517        BE21  689 Extrapolation       0 38.059188 31.543809 44.574567
## 518        BE21  708 Extrapolation       0 38.185802 31.493258 44.878346
## 519        BE21  728 Extrapolation       0 38.313627 31.435896 45.191358
## 520        BE21  748 Extrapolation       0 38.436091 31.374677 45.497504
## 521        BE22    1   Rarefaction       0  1.000000  1.000000  1.000000
## 522        BE22   13   Rarefaction       0  7.899465  7.388793  8.410136
## 523        BE22   26   Rarefaction       0 11.603777 10.669586 12.537967
## 524        BE22   39   Rarefaction       0 13.950397 12.708325 15.192469
## 525        BE22   52   Rarefaction       0 15.644976 14.187446 17.102506
## 526        BE22   64   Rarefaction       0 16.872635 15.268802 18.476467
## 527        BE22   77   Rarefaction       0 17.957380 16.228547 19.686214
## 528        BE22   90   Rarefaction       0 18.852567 17.019639 20.685495
## 529        BE22  103   Rarefaction       0 19.599490 17.675976 21.523005
## 530        BE22  116   Rarefaction       0 20.226705 18.222402 22.231008
## 531        BE22  128   Rarefaction       0 20.718151 18.646243 22.790058
## 532        BE22  141   Rarefaction       0 21.171919 19.033151 23.310687
## 533        BE22  154   Rarefaction       0 21.557731 19.357780 23.757682
## 534        BE22  167   Rarefaction       0 21.887440 19.631026 24.143854
## 535        BE22  179   Rarefaction       0 22.150670 19.845410 24.455930
## 536        BE22  192   Rarefaction       0 22.399347 20.043553 24.755140
## 537        BE22  205   Rarefaction       0 22.617351 20.212087 25.022614
## 538        BE22  218   Rarefaction       0 22.811278 20.355927 25.266629
## 539        BE22  231   Rarefaction       0 22.987069 20.479114 25.495024
## 540        BE22  232      Observed       0 23.000000 20.487836 25.512164
## 541        BE22  233 Extrapolation       0 23.012857 20.496462 25.529252
## 542        BE22  245 Extrapolation       0 23.161503 20.592417 25.730589
## 543        BE22  257 Extrapolation       0 23.300229 20.674297 25.926161
## 544        BE22  269 Extrapolation       0 23.429698 20.742243 26.117153
## 545        BE22  281 Extrapolation       0 23.550527 20.796717 26.304337
## 546        BE22  293 Extrapolation       0 23.663292 20.838400 26.488184
## 547        BE22  305 Extrapolation       0 23.768532 20.868113 26.668952
## 548        BE22  318 Extrapolation       0 23.874632 20.887825 26.861438
## 549        BE22  330 Extrapolation       0 23.965768 20.895481 27.036055
## 550        BE22  342 Extrapolation       0 24.050823 20.893942 27.207704
## 551        BE22  354 Extrapolation       0 24.130201 20.884069 27.376334
## 552        BE22  366 Extrapolation       0 24.204283 20.866675 27.541891
## 553        BE22  378 Extrapolation       0 24.273420 20.842515 27.704326
## 554        BE22  391 Extrapolation       0 24.343123 20.809512 27.876733
## 555        BE22  403 Extrapolation       0 24.402995 20.773425 28.032565
## 556        BE22  415 Extrapolation       0 24.458872 20.732533 28.185210
## 557        BE22  427 Extrapolation       0 24.511020 20.687359 28.334680
## 558        BE22  439 Extrapolation       0 24.559688 20.638377 28.480998
## 559        BE22  451 Extrapolation       0 24.605108 20.586015 28.624200
## 560        BE22  464 Extrapolation       0 24.650899 20.525925 28.775873
## 561        BE23    1   Rarefaction       0  1.000000  1.000000  1.000000
## 562        BE23   13   Rarefaction       0  7.303662  6.818235  7.789089
## 563        BE23   25   Rarefaction       0 10.396894  9.624356 11.169432
## 564        BE23   37   Rarefaction       0 12.413750 11.397929 13.429571
## 565        BE23   49   Rarefaction       0 13.902563 12.684420 15.120706
## 566        BE23   62   Rarefaction       0 15.168013 13.770872 16.565155
## 567        BE23   74   Rarefaction       0 16.118072 14.584445 17.651698
## 568        BE23   86   Rarefaction       0 16.910940 15.260826 18.561053
## 569        BE23   98   Rarefaction       0 17.578553 15.825691 19.331416
## 570        BE23  111   Rarefaction       0 18.187333 16.332749 20.041918
## 571        BE23  123   Rarefaction       0 18.663242 16.719266 20.607218
## 572        BE23  135   Rarefaction       0 19.072157 17.039875 21.104440
## 573        BE23  147   Rarefaction       0 19.426951 17.305084 21.548818
## 574        BE23  159   Rarefaction       0 19.738685 17.524261 21.953108
## 575        BE23  172   Rarefaction       0 20.038857 17.719503 22.358211
## 576        BE23  184   Rarefaction       0 20.290118 17.868878 22.711357
## 577        BE23  196   Rarefaction       0 20.523969 17.995662 23.052276
## 578        BE23  208   Rarefaction       0 20.746715 18.106022 23.387407
## 579        BE23  221   Rarefaction       0 20.981982 18.213488 23.750476
## 580        BE23  222      Observed       0 21.000000 18.221413 23.778587
## 581        BE23  223 Extrapolation       0 21.017964 18.229239 23.806688
## 582        BE23  234 Extrapolation       0 21.212036 18.309253 24.114818
## 583        BE23  246 Extrapolation       0 21.416544 18.385195 24.447893
## 584        BE23  257 Extrapolation       0 21.597627 18.445856 24.749397
## 585        BE23  269 Extrapolation       0 21.788447 18.503537 25.073357
## 586        BE23  281 Extrapolation       0 21.972493 18.553409 25.391578
## 587        BE23  292 Extrapolation       0 22.135458 18.593023 25.677892
## 588        BE23  304 Extrapolation       0 22.307185 18.630267 25.984104
## 589        BE23  316 Extrapolation       0 22.472817 18.661879 26.283755
## 590        BE23  327 Extrapolation       0 22.619476 18.686364 26.552587
## 591        BE23  339 Extrapolation       0 22.774021 18.708602 26.839441
## 592        BE23  350 Extrapolation       0 22.910864 18.725222 27.096506
## 593        BE23  362 Extrapolation       0 23.055065 18.739580 27.370551
## 594        BE23  374 Extrapolation       0 23.194148 18.750313 27.637983
## 595        BE23  385 Extrapolation       0 23.317299 18.757215 27.877382
## 596        BE23  397 Extrapolation       0 23.447072 18.761786 28.132359
## 597        BE23  409 Extrapolation       0 23.572239 18.763500 28.380978
## 598        BE23  420 Extrapolation       0 23.683068 18.762748 28.603387
## 599        BE23  432 Extrapolation       0 23.799857 18.759580 28.840133
## 600        BE23  444 Extrapolation       0 23.912500 18.754141 29.070858
## 601        BE24    1   Rarefaction       0  1.000000  1.000000  1.000000
## 602        BE24   18   Rarefaction       0  6.864988  6.370019  7.359957
## 603        BE24   35   Rarefaction       0 10.030663  9.251289 10.810037
## 604        BE24   52   Rarefaction       0 12.141490 11.150061 13.132919
## 605        BE24   69   Rarefaction       0 13.673474 12.532845 14.814104
## 606        BE24   87   Rarefaction       0 14.906927 13.658331 16.155524
## 607        BE24  104   Rarefaction       0 15.825390 14.506374 17.144406
## 608        BE24  121   Rarefaction       0 16.572932 15.202510 17.943354
## 609        BE24  138   Rarefaction       0 17.191822 15.780853 18.602790
## 610        BE24  156   Rarefaction       0 17.738221 16.290017 19.186424
## 611        BE24  173   Rarefaction       0 18.172099 16.690426 19.653771
## 612        BE24  190   Rarefaction       0 18.540800 17.025232 20.056367
## 613        BE24  207   Rarefaction       0 18.855179 17.304290 20.406068
## 614        BE24  224   Rarefaction       0 19.123735 17.535762 20.711707
## 615        BE24  242   Rarefaction       0 19.365698 17.736618 20.994778
## 616        BE24  259   Rarefaction       0 19.560013 17.890648 21.229378
## 617        BE24  276   Rarefaction       0 19.725817 18.015064 21.436569
## 618        BE24  293   Rarefaction       0 19.867040 18.114039 21.620042
## 619        BE24  311   Rarefaction       0 19.993590 18.195017 21.792162
## 620        BE24  312      Observed       0 20.000000 18.198869 21.801131
## 621        BE24  313 Extrapolation       0 20.006349 18.202652 21.810046
## 622        BE24  329 Extrapolation       0 20.100065 18.254056 21.946074
## 623        BE24  345 Extrapolation       0 20.180437 18.289222 22.071652
## 624        BE24  362 Extrapolation       0 20.253331 18.310483 22.196180
## 625        BE24  378 Extrapolation       0 20.311880 18.317034 22.306727
## 626        BE24  394 Extrapolation       0 20.362093 18.312176 22.412009
## 627        BE24  411 Extrapolation       0 20.407634 18.296234 22.519033
## 628        BE24  427 Extrapolation       0 20.444212 18.272578 22.615846
## 629        BE24  443 Extrapolation       0 20.475582 18.241844 22.709321
## 630        BE24  460 Extrapolation       0 20.504034 18.202707 22.805361
## 631        BE24  476 Extrapolation       0 20.526886 18.160828 22.892945
## 632        BE24  493 Extrapolation       0 20.547613 18.111965 22.983261
## 633        BE24  509 Extrapolation       0 20.564260 18.062658 23.065862
## 634        BE24  525 Extrapolation       0 20.578537 18.010794 23.146280
## 635        BE24  542 Extrapolation       0 20.591486 17.953506 23.229466
## 636        BE24  558 Extrapolation       0 20.601886 17.898030 23.305742
## 637        BE24  574 Extrapolation       0 20.610806 17.841456 23.380156
## 638        BE24  591 Extrapolation       0 20.618896 17.780523 23.457268
## 639        BE24  607 Extrapolation       0 20.625393 17.722703 23.528084
## 640        BE24  624 Extrapolation       0 20.631286 17.661045 23.601528
## 641        BE25    1   Rarefaction       0  1.000000  1.000000  1.000000
## 642        BE25   14   Rarefaction       0  8.523522  7.993748  9.053295
## 643        BE25   27   Rarefaction       0 12.536058 11.723162 13.348954
## 644        BE25   40   Rarefaction       0 15.249265 14.217751 16.280778
## 645        BE25   53   Rarefaction       0 17.287512 16.056569 18.518455
## 646        BE25   66   Rarefaction       0 18.925222 17.510532 20.339913
## 647        BE25   79   Rarefaction       0 20.299450 18.717623 21.881276
## 648        BE25   92   Rarefaction       0 21.486615 19.752444 23.220787
## 649        BE25  105   Rarefaction       0 22.533260 20.657587 24.408933
## 650        BE25  118   Rarefaction       0 23.469568 21.458836 25.480299
## 651        BE25  131   Rarefaction       0 24.315982 22.172889 26.459074
## 652        BE25  144   Rarefaction       0 25.086767 22.811359 27.362175
## 653        BE25  157   Rarefaction       0 25.792078 23.382848 28.201309
## 654        BE25  170   Rarefaction       0 26.439213 23.894002 28.984423
## 655        BE25  183   Rarefaction       0 27.033413 24.350040 29.716786
## 656        BE25  196   Rarefaction       0 27.578409 24.755044 30.401775
## 657        BE25  209   Rarefaction       0 28.076819 25.112154 31.041485
## 658        BE25  222   Rarefaction       0 28.530470 25.423739 31.637202
## 659        BE25  236   Rarefaction       0 28.970464 25.710391 32.230538
## 660        BE25  237      Observed       0 29.000000 25.728970 32.271030
## 661        BE25  238 Extrapolation       0 29.029288 25.747300 32.311275
## 662        BE25  250 Extrapolation       0 29.362122 25.948559 32.775685
## 663        BE25  262 Extrapolation       0 29.662902 26.117407 33.208396
## 664        BE25  275 Extrapolation       0 29.956147 26.267127 33.645167
## 665        BE25  287 Extrapolation       0 30.199717 26.377597 34.021838
## 666        BE25  300 Extrapolation       0 30.437187 26.470241 34.404132
## 667        BE25  312 Extrapolation       0 30.634429 26.533315 34.735544
## 668        BE25  324 Extrapolation       0 30.812676 26.577062 35.048290
## 669        BE25  337 Extrapolation       0 30.986458 26.604941 35.367974
## 670        BE25  349 Extrapolation       0 31.130801 26.614601 35.647002
## 671        BE25  362 Extrapolation       0 31.271529 26.609610 35.933448
## 672        BE25  374 Extrapolation       0 31.388418 26.592333 36.184503
## 673        BE25  387 Extrapolation       0 31.502379 26.561497 36.443261
## 674        BE25  399 Extrapolation       0 31.597035 26.523146 36.670925
## 675        BE25  411 Extrapolation       0 31.682576 26.476432 36.888719
## 676        BE25  424 Extrapolation       0 31.765973 26.417530 37.114416
## 677        BE25  436 Extrapolation       0 31.835243 26.356452 37.314034
## 678        BE25  449 Extrapolation       0 31.902778 26.283965 37.521591
## 679        BE25  461 Extrapolation       0 31.958873 26.211983 37.705763
## 680        BE25  474 Extrapolation       0 32.013563 26.129266 37.897860
## 681        BE26    1   Rarefaction       0  1.000000  1.000000  1.000000
## 682        BE26   17   Rarefaction       0  8.294868  7.746985  8.842750
## 683        BE26   34   Rarefaction       0 12.173887 11.241946 13.105828
## 684        BE26   51   Rarefaction       0 14.750614 13.527342 15.973887
## 685        BE26   68   Rarefaction       0 16.650578 15.202072 18.099085
## 686        BE26   85   Rarefaction       0 18.136338 16.509904 19.762772
## 687        BE26  102   Rarefaction       0 19.343970 17.573039 21.114900
## 688        BE26  118   Rarefaction       0 20.298432 18.413313 22.183551
## 689        BE26  135   Rarefaction       0 21.167953 19.178195 23.157712
## 690        BE26  152   Rarefaction       0 21.922608 19.840521 24.004695
## 691        BE26  169   Rarefaction       0 22.586843 20.420854 24.752831
## 692        BE26  186   Rarefaction       0 23.178150 20.933477 25.422824
## 693        BE26  203   Rarefaction       0 23.709207 21.388265 26.030149
## 694        BE26  219   Rarefaction       0 24.162274 21.769481 26.555068
## 695        BE26  236   Rarefaction       0 24.600383 22.128913 27.071853
## 696        BE26  253   Rarefaction       0 24.998639 22.443864 27.553414
## 697        BE26  270   Rarefaction       0 25.360463 22.715553 28.005374
## 698        BE26  287   Rarefaction       0 25.688233 22.944199 28.432266
## 699        BE26  304   Rarefaction       0 25.983607 23.129325 28.837888
## 700        BE26  305      Observed       0 26.000000 23.138842 28.861158
## 701        BE26  306 Extrapolation       0 26.016286 23.148207 28.884366
## 702        BE26  322 Extrapolation       0 26.262853 23.278078 29.247628
## 703        BE26  338 Extrapolation       0 26.484861 23.372594 29.597127
## 704        BE26  354 Extrapolation       0 26.684756 23.435212 29.934301
## 705        BE26  370 Extrapolation       0 26.864742 23.469379 30.260104
## 706        BE26  386 Extrapolation       0 27.026800 23.478365 30.575235
## 707        BE26  402 Extrapolation       0 27.172718 23.465177 30.880258
## 708        BE26  418 Extrapolation       0 27.304101 23.432536 31.175666
## 709        BE26  434 Extrapolation       0 27.422399 23.382886 31.461912
## 710        BE26  450 Extrapolation       0 27.528914 23.318400 31.739427
## 711        BE26  466 Extrapolation       0 27.624819 23.241011 32.008628
## 712        BE26  482 Extrapolation       0 27.711173 23.152428 32.269917
## 713        BE26  498 Extrapolation       0 27.788925 23.054165 32.523685
## 714        BE26  514 Extrapolation       0 27.858933 22.947557 32.770310
## 715        BE26  530 Extrapolation       0 27.921968 22.833784 33.010153
## 716        BE26  546 Extrapolation       0 27.978725 22.713888 33.243562
## 717        BE26  562 Extrapolation       0 28.029829 22.588789 33.470868
## 718        BE26  578 Extrapolation       0 28.075842 22.459299 33.692385
## 719        BE26  594 Extrapolation       0 28.117273 22.326136 33.908409
## 720        BE26  610 Extrapolation       0 28.154577 22.189933 34.119221
## 721        BE27    1   Rarefaction       0  1.000000  1.000000  1.000000
## 722        BE27   18   Rarefaction       0 10.875748 10.294709 11.456786
## 723        BE27   35   Rarefaction       0 15.893033 14.803600 16.982466
## 724        BE27   52   Rarefaction       0 19.289489 17.755311 20.823667
## 725        BE27   69   Rarefaction       0 21.893524 19.956159 23.830888
## 726        BE27   87   Rarefaction       0 24.154244 21.827731 26.480757
## 727        BE27  104   Rarefaction       0 25.985420 23.325209 28.645630
## 728        BE27  121   Rarefaction       0 27.606656 24.643767 30.569546
## 729        BE27  138   Rarefaction       0 29.066564 25.829098 32.304029
## 730        BE27  156   Rarefaction       0 30.470593 26.968981 33.972206
## 731        BE27  173   Rarefaction       0 31.684712 27.954670 35.414755
## 732        BE27  190   Rarefaction       0 32.805831 28.863965 36.747698
## 733        BE27  207   Rarefaction       0 33.846082 29.705510 37.986654
## 734        BE27  224   Rarefaction       0 34.815559 30.486252 39.144866
## 735        BE27  242   Rarefaction       0 35.774585 31.253200 40.295970
## 736        BE27  259   Rarefaction       0 36.624652 31.926606 41.322699
## 737        BE27  276   Rarefaction       0 37.427632 32.555347 42.299917
## 738        BE27  293   Rarefaction       0 38.189723 33.143763 43.235683
## 739        BE27  311   Rarefaction       0 38.958333 33.727316 44.189350
## 740        BE27  312      Observed       0 39.000000 33.758634 44.241366
## 741        BE27  313 Extrapolation       0 39.041564 33.789840 44.293288
## 742        BE27  329 Extrapolation       0 39.692809 34.274022 45.111596
## 743        BE27  345 Extrapolation       0 40.318816 34.730061 45.907571
## 744        BE27  362 Extrapolation       0 40.957387 35.184349 46.730425
## 745        BE27  378 Extrapolation       0 41.534385 35.584110 47.484661
## 746        BE27  394 Extrapolation       0 42.089022 35.957665 48.220379
## 747        BE27  411 Extrapolation       0 42.654791 36.326784 48.982798
## 748        BE27  427 Extrapolation       0 43.166006 36.648988 49.683025
## 749        BE27  443 Extrapolation       0 43.657410 36.947727 50.367093
## 750        BE27  460 Extrapolation       0 44.158677 37.240531 51.076822
## 751        BE27  476 Extrapolation       0 44.611610 37.494009 51.729210
## 752        BE27  493 Extrapolation       0 45.073633 37.740996 52.406271
## 753        BE27  509 Extrapolation       0 45.491107 37.953486 53.028729
## 754        BE27  525 Extrapolation       0 45.892402 38.147616 53.637189
## 755        BE27  542 Extrapolation       0 46.301752 38.334832 54.268671
## 756        BE27  558 Extrapolation       0 46.671630 38.494086 54.849174
## 757        BE27  574 Extrapolation       0 47.027174 38.637816 55.416532
## 758        BE27  591 Extrapolation       0 47.389854 38.774479 56.005230
## 759        BE27  607 Extrapolation       0 47.717564 38.888860 56.546268
## 760        BE27  624 Extrapolation       0 48.051851 38.996148 57.107554
## 761        BE28    1   Rarefaction       0  1.000000  1.000000  1.000000
## 762        BE28   15   Rarefaction       0  9.699114  9.262500 10.135727
## 763        BE28   30   Rarefaction       0 14.392769 13.617801 15.167737
## 764        BE28   45   Rarefaction       0 17.418904 16.420797 18.417012
## 765        BE28   59   Rarefaction       0 19.488162 18.297741 20.678582
## 766        BE28   74   Rarefaction       0 21.213806 19.809920 22.617692
## 767        BE28   89   Rarefaction       0 22.600171 20.975938 24.224404
## 768        BE28  104   Rarefaction       0 23.748697 21.902136 25.595259
## 769        BE28  118   Rarefaction       0 24.662033 22.609432 26.714635
## 770        BE28  133   Rarefaction       0 25.509951 23.240277 27.779625
## 771        BE28  148   Rarefaction       0 26.250541 23.768888 28.732194
## 772        BE28  162   Rarefaction       0 26.863022 24.188807 29.537237
## 773        BE28  177   Rarefaction       0 27.449458 24.575024 30.323891
## 774        BE28  192   Rarefaction       0 27.975553 24.907465 31.043641
## 775        BE28  207   Rarefaction       0 28.451234 25.196184 31.706283
## 776        BE28  221   Rarefaction       0 28.857092 25.433610 32.280575
## 777        BE28  236   Rarefaction       0 29.257896 25.660396 32.855397
## 778        BE28  251   Rarefaction       0 29.629571 25.864587 33.394555
## 779        BE28  266   Rarefaction       0 29.977528 26.051365 33.903691
## 780        BE28  267      Observed       0 30.000000 26.063308 33.936692
## 781        BE28  268 Extrapolation       0 30.022388 26.075193 33.969582
## 782        BE28  282 Extrapolation       0 30.327153 26.235589 34.418718
## 783        BE28  296 Extrapolation       0 30.616322 26.385011 34.847633
## 784        BE28  310 Extrapolation       0 30.890692 26.523767 35.257616
## 785        BE28  324 Extrapolation       0 31.151020 26.652163 35.649878
## 786        BE28  338 Extrapolation       0 31.398026 26.770515 36.025537
## 787        BE28  352 Extrapolation       0 31.632391 26.879156 36.385625
## 788        BE28  366 Extrapolation       0 31.854761 26.978435 36.731088
## 789        BE28  380 Extrapolation       0 32.065752 27.068710 37.062793
## 790        BE28  394 Extrapolation       0 32.265944 27.150351 37.381538
## 791        BE28  408 Extrapolation       0 32.455891 27.223731 37.688052
## 792        BE28  422 Extrapolation       0 32.636118 27.289227 37.983009
## 793        BE28  436 Extrapolation       0 32.807121 27.347215 38.267027
## 794        BE28  450 Extrapolation       0 32.969372 27.398068 38.540677
## 795        BE28  464 Extrapolation       0 33.123321 27.442153 38.804488
## 796        BE28  478 Extrapolation       0 33.269390 27.479831 39.058949
## 797        BE28  492 Extrapolation       0 33.407984 27.511455 39.304513
## 798        BE28  506 Extrapolation       0 33.539485 27.537366 39.541604
## 799        BE28  520 Extrapolation       0 33.664257 27.557898 39.770616
## 800        BE28  534 Extrapolation       0 33.782643 27.573369 39.991917
## 801        BE29    1   Rarefaction       0  1.000000  1.000000  1.000000
## 802        BE29   14   Rarefaction       0  8.453726  7.939851  8.967602
## 803        BE29   27   Rarefaction       0 12.155709 11.311795 12.999622
## 804        BE29   41   Rarefaction       0 14.623942 13.521793 15.726091
## 805        BE29   54   Rarefaction       0 16.162181 14.873344 17.451018
## 806        BE29   67   Rarefaction       0 17.277251 15.847355 18.707147
## 807        BE29   81   Rarefaction       0 18.184816 16.645223 19.724408
## 808        BE29   94   Rarefaction       0 18.848821 17.237420 20.460222
## 809        BE29  108   Rarefaction       0 19.431024 17.765589 21.096459
## 810        BE29  121   Rarefaction       0 19.880895 18.180177 21.581613
## 811        BE29  134   Rarefaction       0 20.263635 18.536808 21.990461
## 812        BE29  148   Rarefaction       0 20.616017 18.866809 22.365225
## 813        BE29  161   Rarefaction       0 20.897785 19.129805 22.665765
## 814        BE29  175   Rarefaction       0 21.160429 19.371509 22.949350
## 815        BE29  188   Rarefaction       0 21.371946 19.560826 23.183066
## 816        BE29  201   Rarefaction       0 21.556356 19.718783 23.393929
## 817        BE29  215   Rarefaction       0 21.728161 19.855915 23.600407
## 818        BE29  228   Rarefaction       0 21.865443 19.954183 23.776703
## 819        BE29  242   Rarefaction       0 21.991770 20.030165 23.953375
## 820        BE29  243      Observed       0 22.000000 20.034444 23.965556
## 821        BE29  244 Extrapolation       0 22.008130 20.038727 23.977533
## 822        BE29  256 Extrapolation       0 22.098259 20.079714 24.116805
## 823        BE29  269 Extrapolation       0 22.181976 20.105090 24.258862
## 824        BE29  282 Extrapolation       0 22.253303 20.114241 24.392366
## 825        BE29  294 Extrapolation       0 22.309737 20.110968 24.508506
## 826        BE29  307 Extrapolation       0 22.362156 20.097166 24.627147
## 827        BE29  320 Extrapolation       0 22.406817 20.074810 24.738824
## 828        BE29  333 Extrapolation       0 22.444868 20.045705 24.844032
## 829        BE29  345 Extrapolation       0 22.474974 20.014135 24.935813
## 830        BE29  358 Extrapolation       0 22.502938 19.975994 25.029882
## 831        BE29  371 Extrapolation       0 22.526764 19.934743 25.118785
## 832        BE29  384 Extrapolation       0 22.547063 19.891217 25.202909
## 833        BE29  396 Extrapolation       0 22.563124 19.849615 25.276632
## 834        BE29  409 Extrapolation       0 22.578042 19.803533 25.352550
## 835        BE29  422 Extrapolation       0 22.590752 19.756849 25.424655
## 836        BE29  435 Extrapolation       0 22.601581 19.709941 25.493222
## 837        BE29  447 Extrapolation       0 22.610149 19.666709 25.553589
## 838        BE29  460 Extrapolation       0 22.618108 19.620184 25.616031
## 839        BE29  473 Extrapolation       0 22.624888 19.574177 25.675599
## 840        BE29  486 Extrapolation       0 22.630665 19.528849 25.732481
## 841         BE3    1   Rarefaction       0  1.000000  1.000000  1.000000
## 842         BE3   17   Rarefaction       0 12.399461 12.013462 12.785459
## 843         BE3   33   Rarefaction       0 18.989242 18.165916 19.812567
## 844         BE3   49   Rarefaction       0 23.367750 22.187727 24.547772
## 845         BE3   65   Rarefaction       0 26.515115 25.031537 27.998693
## 846         BE3   82   Rarefaction       0 29.013965 27.254637 30.773292
## 847         BE3   98   Rarefaction       0 30.833874 28.853739 32.814008
## 848         BE3  114   Rarefaction       0 32.297183 30.128051 34.466316
## 849         BE3  130   Rarefaction       0 33.506064 31.174091 35.838037
## 850         BE3  147   Rarefaction       0 34.588193 32.106460 37.069927
## 851         BE3  163   Rarefaction       0 35.464880 32.860024 38.069736
## 852         BE3  179   Rarefaction       0 36.236232 33.522398 38.950066
## 853         BE3  195   Rarefaction       0 36.924028 34.112816 39.735239
## 854         BE3  211   Rarefaction       0 37.543707 34.644511 40.442903
## 855         BE3  228   Rarefaction       0 38.139947 35.155326 41.124567
## 856         BE3  244   Rarefaction       0 38.651286 35.591869 41.710704
## 857         BE3  260   Rarefaction       0 39.120701 35.990047 42.251355
## 858         BE3  276   Rarefaction       0 39.553061 36.352887 42.753236
## 859         BE3  293   Rarefaction       0 39.976190 36.701915 43.250466
## 860         BE3  294      Observed       0 40.000000 36.721309 43.278691
## 861         BE3  295 Extrapolation       0 40.023694 36.740579 43.306809
## 862         BE3  310 Extrapolation       0 40.365616 37.014632 43.716599
## 863         BE3  325 Extrapolation       0 40.683480 37.260765 44.106196
## 864         BE3  341 Extrapolation       0 40.997924 37.493207 44.502641
## 865         BE3  356 Extrapolation       0 41.271299 37.683923 44.858676
## 866         BE3  372 Extrapolation       0 41.541733 37.859763 45.223702
## 867         BE3  387 Extrapolation       0 41.776846 38.000245 45.553448
## 868         BE3  402 Extrapolation       0 41.995417 38.118692 45.872143
## 869         BE3  418 Extrapolation       0 42.211636 38.222499 46.200773
## 870         BE3  433 Extrapolation       0 42.399615 38.300321 46.498909
## 871         BE3  449 Extrapolation       0 42.585572 38.364260 46.806883
## 872         BE3  464 Extrapolation       0 42.747241 38.407837 47.086645
## 873         BE3  480 Extrapolation       0 42.907170 38.438416 47.375925
## 874         BE3  495 Extrapolation       0 43.046212 38.453510 47.638915
## 875         BE3  510 Extrapolation       0 43.175471 38.456666 47.894277
## 876         BE3  526 Extrapolation       0 43.303339 38.448094 48.158584
## 877         BE3  541 Extrapolation       0 43.414507 38.429919 48.399094
## 878         BE3  557 Extrapolation       0 43.524478 38.400772 48.648185
## 879         BE3  572 Extrapolation       0 43.620086 38.365179 48.874994
## 880         BE3  588 Extrapolation       0 43.714666 38.319277 49.110054
## 881        BE30    1   Rarefaction       0  1.000000  1.000000  1.000000
## 882        BE30   15   Rarefaction       0  8.070304  7.501120  8.639489
## 883        BE30   30   Rarefaction       0 11.723175 10.748929 12.697421
## 884        BE30   45   Rarefaction       0 14.106032 12.778113 15.433952
## 885        BE30   59   Rarefaction       0 15.756410 14.120153 17.392668
## 886        BE30   74   Rarefaction       0 17.183199 15.239473 19.126924
## 887        BE30   89   Rarefaction       0 18.399835 16.172232 20.627438
## 888        BE30  103   Rarefaction       0 19.415610 16.943039 21.888181
## 889        BE30  118   Rarefaction       0 20.417180 17.701408 23.132951
## 890        BE30  133   Rarefaction       0 21.353511 18.411985 24.295037
## 891        BE30  147   Rarefaction       0 22.181532 19.042801 25.320263
## 892        BE30  162   Rarefaction       0 23.027747 19.689890 26.365604
## 893        BE30  177   Rarefaction       0 23.836757 20.310125 27.363389
## 894        BE30  191   Rarefaction       0 24.561220 20.865857 28.256584
## 895        BE30  206   Rarefaction       0 25.306752 21.436729 29.176775
## 896        BE30  221   Rarefaction       0 26.022146 21.982015 30.062277
## 897        BE30  235   Rarefaction       0 26.663821 22.467548 30.860094
## 898        BE30  250   Rarefaction       0 27.324546 22.962339 31.686754
## 899        BE30  265   Rarefaction       0 27.958647 23.430538 32.486755
## 900        BE30  266      Observed       0 28.000000 23.460801 32.539199
## 901        BE30  267 Extrapolation       0 28.041240 23.490944 32.591537
## 902        BE30  280 Extrapolation       0 28.567203 23.871915 33.262492
## 903        BE30  294 Extrapolation       0 29.113055 24.259469 33.966642
## 904        BE30  308 Extrapolation       0 29.638360 24.623424 34.653297
## 905        BE30  322 Extrapolation       0 30.143891 24.963907 35.323876
## 906        BE30  336 Extrapolation       0 30.630393 25.281195 35.979592
## 907        BE30  350 Extrapolation       0 31.098582 25.575692 36.621471
## 908        BE30  364 Extrapolation       0 31.549146 25.847912 37.250381
## 909        BE30  378 Extrapolation       0 31.982751 26.098450 37.867051
## 910        BE30  392 Extrapolation       0 32.400033 26.327969 38.472097
## 911        BE30  406 Extrapolation       0 32.801608 26.537177 39.066038
## 912        BE30  420 Extrapolation       0 33.188066 26.726814 39.649318
## 913        BE30  434 Extrapolation       0 33.559977 26.897636 40.222318
## 914        BE30  448 Extrapolation       0 33.917889 27.050409 40.785368
## 915        BE30  462 Extrapolation       0 34.262327 27.185896 41.338759
## 916        BE30  476 Extrapolation       0 34.593801 27.304851 41.882750
## 917        BE30  490 Extrapolation       0 34.912796 27.408017 42.417576
## 918        BE30  504 Extrapolation       0 35.219784 27.496116 42.943452
## 919        BE30  518 Extrapolation       0 35.515216 27.569854 43.460578
## 920        BE30  532 Extrapolation       0 35.799528 27.629912 43.969143
## 921         BE4    1   Rarefaction       0  1.000000  1.000000  1.000000
## 922         BE4   23   Rarefaction       0 13.387594 12.739897 14.035291
## 923         BE4   46   Rarefaction       0 18.785704 17.579160 19.992247
## 924         BE4   69   Rarefaction       0 21.872317 20.310661 23.433974
## 925         BE4   92   Rarefaction       0 23.916708 22.105974 25.727441
## 926         BE4  115   Rarefaction       0 25.384883 23.378904 27.390861
## 927         BE4  138   Rarefaction       0 26.498154 24.321734 28.674573
## 928         BE4  161   Rarefaction       0 27.377436 25.040180 29.714692
## 929         BE4  184   Rarefaction       0 28.095194 25.599829 30.590559
## 930         BE4  207   Rarefaction       0 28.697752 26.044526 31.350978
## 931         BE4  230   Rarefaction       0 29.216086 26.404669 32.027502
## 932         BE4  253   Rarefaction       0 29.671586 26.701652 32.641521
## 933         BE4  276   Rarefaction       0 30.079407 26.950641 33.208173
## 934         BE4  299   Rarefaction       0 30.450540 27.162480 33.738599
## 935         BE4  322   Rarefaction       0 30.793173 27.345047 34.241299
## 936         BE4  345   Rarefaction       0 31.113604 27.504223 34.722985
## 937         BE4  368   Rarefaction       0 31.416859 27.644582 35.189135
## 938         BE4  391   Rarefaction       0 31.707107 27.769859 35.644356
## 939         BE4  414   Rarefaction       0 31.987952 27.883274 36.092629
## 940         BE4  415      Observed       0 32.000000 27.887982 36.112018
## 941         BE4  416 Extrapolation       0 32.012037 27.892672 36.131401
## 942         BE4  437 Extrapolation       0 32.262138 27.987124 36.537152
## 943         BE4  459 Extrapolation       0 32.518765 28.078119 36.959410
## 944         BE4  481 Extrapolation       0 32.769997 28.161447 37.378548
## 945         BE4  503 Extrapolation       0 33.015949 28.237573 37.794324
## 946         BE4  524 Extrapolation       0 33.245895 28.303940 38.187851
## 947         BE4  546 Extrapolation       0 33.481842 28.367291 38.596393
## 948         BE4  568 Extrapolation       0 33.712829 28.424740 39.000918
## 949         BE4  590 Extrapolation       0 33.938960 28.476691 39.401230
## 950         BE4  612 Extrapolation       0 34.160338 28.523526 39.797150
## 951         BE4  633 Extrapolation       0 34.367310 28.563793 40.170828
## 952         BE4  655 Extrapolation       0 34.579683 28.601649 40.557717
## 953         BE4  677 Extrapolation       0 34.787592 28.635390 40.939793
## 954         BE4  699 Extrapolation       0 34.991130 28.665308 41.316951
## 955         BE4  721 Extrapolation       0 35.190389 28.691676 41.689102
## 956         BE4  742 Extrapolation       0 35.376682 28.713764 42.039600
## 957         BE4  764 Extrapolation       0 35.567836 28.733901 42.401771
## 958         BE4  786 Extrapolation       0 35.754972 28.751177 42.758767
## 959         BE4  808 Extrapolation       0 35.938174 28.765789 43.110559
## 960         BE4  830 Extrapolation       0 36.117525 28.777920 43.457130
## 961         BE5    1   Rarefaction       0  1.000000  1.000000  1.000000
## 962         BE5   11   Rarefaction       0  4.931670  4.362784  5.500557
## 963         BE5   22   Rarefaction       0  7.721929  6.889876  8.553983
## 964         BE5   33   Rarefaction       0  9.731952  8.748213 10.715691
## 965         BE5   44   Rarefaction       0 11.206000 10.107436 12.304565
## 966         BE5   55   Rarefaction       0 12.308909 11.104994 13.512825
## 967         BE5   66   Rarefaction       0 13.152248 11.844661 14.459836
## 968         BE5   77   Rarefaction       0 13.812089 12.402223 15.221956
## 969         BE5   88   Rarefaction       0 14.340881 12.831729 15.850033
## 970         BE5   99   Rarefaction       0 14.775257 13.171081 16.379434
## 971         BE5  110   Rarefaction       0 15.141114 13.446572 16.835656
## 972         BE5  121   Rarefaction       0 15.456892 13.676301 17.237484
## 973         BE5  132   Rarefaction       0 15.735721 13.872592 17.598850
## 974         BE5  143   Rarefaction       0 15.986848 14.043677 17.930020
## 975         BE5  154   Rarefaction       0 16.216635 14.194842 18.238428
## 976         BE5  165   Rarefaction       0 16.429282 14.329248 18.529316
## 977         BE5  176   Rarefaction       0 16.627387 14.448511 18.806263
## 978         BE5  187   Rarefaction       0 16.812386 14.553154 19.071619
## 979         BE5  198   Rarefaction       0 16.984925 14.642968 19.326881
## 980         BE5  199      Observed       0 17.000000 14.650378 19.349622
## 981         BE5  200 Extrapolation       0 17.014975 14.657249 19.372700
## 982         BE5  210 Extrapolation       0 17.159320 14.719974 19.598666
## 983         BE5  220 Extrapolation       0 17.294296 14.772443 19.816149
## 984         BE5  231 Extrapolation       0 17.432672 14.819289 20.046055
## 985         BE5  241 Extrapolation       0 17.549904 14.852791 20.247016
## 986         BE5  252 Extrapolation       0 17.670089 14.880475 20.459703
## 987         BE5  262 Extrapolation       0 17.771910 14.897976 20.645843
## 988         BE5  272 Extrapolation       0 17.867121 14.908772 20.825471
## 989         BE5  283 Extrapolation       0 17.964731 14.913542 21.015921
## 990         BE5  293 Extrapolation       0 18.047426 14.911963 21.182890
## 991         BE5  304 Extrapolation       0 18.132205 14.904298 21.360111
## 992         BE5  314 Extrapolation       0 18.204029 14.892418 21.515639
## 993         BE5  325 Extrapolation       0 18.277662 14.874451 21.680874
## 994         BE5  335 Extrapolation       0 18.340044 14.854078 21.826011
## 995         BE5  345 Extrapolation       0 18.398377 14.830226 21.966529
## 996         BE5  356 Extrapolation       0 18.458180 14.800365 22.115995
## 997         BE5  366 Extrapolation       0 18.508844 14.770257 22.247431
## 998         BE5  377 Extrapolation       0 18.560785 14.734232 22.387338
## 999         BE5  387 Extrapolation       0 18.604789 14.699123 22.510455
## 1000        BE5  398 Extrapolation       0 18.649902 14.658209 22.641595
## 1001        BE6    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1002        BE6   12   Rarefaction       0  6.975703  6.347403  7.604003
## 1003        BE6   23   Rarefaction       0 10.431183  9.452244 11.410122
## 1004        BE6   35   Rarefaction       0 13.070098 11.797735 14.342461
## 1005        BE6   46   Rarefaction       0 14.898257 13.389650 16.406865
## 1006        BE6   58   Rarefaction       0 16.496117 14.748045 18.244188
## 1007        BE6   69   Rarefaction       0 17.717360 15.759827 19.674893
## 1008        BE6   81   Rarefaction       0 18.863366 16.684540 21.042191
## 1009        BE6   92   Rarefaction       0 19.787112 17.410320 22.163904
## 1010        BE6  104   Rarefaction       0 20.688741 18.100336 23.277146
## 1011        BE6  115   Rarefaction       0 21.437318 18.658522 24.216114
## 1012        BE6  126   Rarefaction       0 22.124425 19.158529 25.090320
## 1013        BE6  138   Rarefaction       0 22.814778 19.648518 25.981039
## 1014        BE6  149   Rarefaction       0 23.401033 20.054576 26.747491
## 1015        BE6  161   Rarefaction       0 23.996785 20.457574 27.535995
## 1016        BE6  172   Rarefaction       0 24.508027 20.795614 28.220439
## 1017        BE6  184   Rarefaction       0 25.032957 21.135275 28.930640
## 1018        BE6  195   Rarefaction       0 25.488356 21.423963 29.552749
## 1019        BE6  207   Rarefaction       0 25.961538 21.718203 30.204874
## 1020        BE6  208      Observed       0 26.000000 21.741868 30.258132
## 1021        BE6  209 Extrapolation       0 26.038323 21.765406 30.311239
## 1022        BE6  219 Extrapolation       0 26.414022 21.993729 30.834315
## 1023        BE6  230 Extrapolation       0 26.811897 22.230076 31.393717
## 1024        BE6  241 Extrapolation       0 27.194253 22.451025 31.937481
## 1025        BE6  252 Extrapolation       0 27.561697 22.656833 32.466561
## 1026        BE6  263 Extrapolation       0 27.914810 22.847868 32.981751
## 1027        BE6  274 Extrapolation       0 28.254150 23.024583 33.483718
## 1028        BE6  285 Extrapolation       0 28.580256 23.187489 33.973023
## 1029        BE6  296 Extrapolation       0 28.893643 23.337138 34.450147
## 1030        BE6  307 Extrapolation       0 29.194807 23.474101 34.915512
## 1031        BE6  317 Extrapolation       0 29.458387 23.588092 35.328683
## 1032        BE6  328 Extrapolation       0 29.737525 23.702441 35.772609
## 1033        BE6  339 Extrapolation       0 30.005776 23.805776 36.205776
## 1034        BE6  350 Extrapolation       0 30.263565 23.898649 36.628480
## 1035        BE6  361 Extrapolation       0 30.511299 23.981596 37.041002
## 1036        BE6  372 Extrapolation       0 30.749371 24.055131 37.443611
## 1037        BE6  383 Extrapolation       0 30.978158 24.119749 37.836567
## 1038        BE6  394 Extrapolation       0 31.198021 24.175920 38.220123
## 1039        BE6  405 Extrapolation       0 31.409310 24.224094 38.594526
## 1040        BE6  416 Extrapolation       0 31.612358 24.264699 38.960016
## 1041        BE7    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1042        BE7   30   Rarefaction       0  9.448944  8.830456 10.067433
## 1043        BE7   60   Rarefaction       0 13.036941 12.128578 13.945303
## 1044        BE7   90   Rarefaction       0 15.324703 14.170748 16.478659
## 1045        BE7  120   Rarefaction       0 17.052653 15.673668 18.431639
## 1046        BE7  150   Rarefaction       0 18.462129 16.870756 20.053502
## 1047        BE7  180   Rarefaction       0 19.662846 17.869392 21.456301
## 1048        BE7  210   Rarefaction       0 20.716161 18.730236 22.702087
## 1049        BE7  240   Rarefaction       0 21.660099 19.490582 23.829616
## 1050        BE7  270   Rarefaction       0 22.519277 20.174058 24.864496
## 1051        BE7  299   Rarefaction       0 23.284602 20.776043 25.793161
## 1052        BE7  329   Rarefaction       0 24.019588 21.347870 26.691306
## 1053        BE7  359   Rarefaction       0 24.704430 21.874733 27.534127
## 1054        BE7  389   Rarefaction       0 25.344558 22.361530 28.327586
## 1055        BE7  419   Rarefaction       0 25.943950 22.811874 29.076027
## 1056        BE7  449   Rarefaction       0 26.505614 23.228501 29.782726
## 1057        BE7  479   Rarefaction       0 27.031879 23.613502 30.450255
## 1058        BE7  509   Rarefaction       0 27.524583 23.968426 31.080740
## 1059        BE7  539   Rarefaction       0 27.985185 24.294332 31.676038
## 1060        BE7  540      Observed       0 28.000000 24.304704 31.695296
## 1061        BE7  541 Extrapolation       0 28.014781 24.315044 31.714517
## 1062        BE7  569 Extrapolation       0 28.415036 24.591652 32.238420
## 1063        BE7  597 Extrapolation       0 28.790155 24.843860 32.736449
## 1064        BE7  626 Extrapolation       0 29.153854 25.080299 33.227410
## 1065        BE7  654 Extrapolation       0 29.482575 25.285694 33.679455
## 1066        BE7  682 Extrapolation       0 29.790651 25.469709 34.111592
## 1067        BE7  711 Extrapolation       0 30.089348 25.638999 34.539698
## 1068        BE7  739 Extrapolation       0 30.359318 25.783126 34.935511
## 1069        BE7  767 Extrapolation       0 30.612334 25.909496 35.315172
## 1070        BE7  796 Extrapolation       0 30.857647 26.022951 35.692344
## 1071        BE7  824 Extrapolation       0 31.079367 26.116888 36.041846
## 1072        BE7  853 Extrapolation       0 31.294337 26.199257 36.389418
## 1073        BE7  881 Extrapolation       0 31.488633 26.265513 36.711752
## 1074        BE7  909 Extrapolation       0 31.670726 26.319793 37.021659
## 1075        BE7  938 Extrapolation       0 31.847276 26.364443 37.330108
## 1076        BE7  966 Extrapolation       0 32.006846 26.397346 37.616345
## 1077        BE7  994 Extrapolation       0 32.156394 26.421106 37.891683
## 1078        BE7 1023 Extrapolation       0 32.301391 26.436943 38.165839
## 1079        BE7 1051 Extrapolation       0 32.432442 26.444545 38.420338
## 1080        BE7 1080 Extrapolation       0 32.559503 26.445213 38.673793
## 1081        BE8    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1082        BE8   13   Rarefaction       0  7.833924  7.347436  8.320413
## 1083        BE8   25   Rarefaction       0 11.798526 11.005709 12.591343
## 1084        BE8   37   Rarefaction       0 14.514179 13.468199 15.560158
## 1085        BE8   49   Rarefaction       0 16.470219 15.214064 17.726374
## 1086        BE8   61   Rarefaction       0 17.932717 16.499954 19.365479
## 1087        BE8   73   Rarefaction       0 19.059251 17.475135 20.643366
## 1088        BE8   85   Rarefaction       0 19.948935 18.232451 21.665420
## 1089        BE8   97   Rarefaction       0 20.667021 18.832225 22.501817
## 1090        BE8  109   Rarefaction       0 21.257979 19.314881 23.201076
## 1091        BE8  121   Rarefaction       0 21.752904 19.708184 23.797624
## 1092        BE8  133   Rarefaction       0 22.173931 20.031615 24.316248
## 1093        BE8  145   Rarefaction       0 22.537003 20.299098 24.774909
## 1094        BE8  157   Rarefaction       0 22.853691 20.520749 25.186633
## 1095        BE8  169   Rarefaction       0 23.132453 20.704044 25.560862
## 1096        BE8  181   Rarefaction       0 23.379539 20.854622 25.904456
## 1097        BE8  193   Rarefaction       0 23.599636 20.976842 26.222429
## 1098        BE8  205   Rarefaction       0 23.796339 21.074174 26.518504
## 1099        BE8  218   Rarefaction       0 23.986301 21.154801 26.817802
## 1100        BE8  219      Observed       0 24.000000 21.160018 26.839982
## 1101        BE8  220 Extrapolation       0 24.013574 21.165109 26.862039
## 1102        BE8  231 Extrapolation       0 24.154987 21.213108 27.096865
## 1103        BE8  242 Extrapolation       0 24.282883 21.247687 27.318080
## 1104        BE8  254 Extrapolation       0 24.408507 21.271989 27.545025
## 1105        BE8  265 Extrapolation       0 24.512173 21.283488 27.740859
## 1106        BE8  277 Extrapolation       0 24.613997 21.285773 27.942222
## 1107        BE8  288 Extrapolation       0 24.698023 21.279631 28.116416
## 1108        BE8  300 Extrapolation       0 24.780556 21.265096 28.296016
## 1109        BE8  311 Extrapolation       0 24.848663 21.245491 28.451836
## 1110        BE8  323 Extrapolation       0 24.915560 21.218140 28.612980
## 1111        BE8  334 Extrapolation       0 24.970764 21.188303 28.753225
## 1112        BE8  346 Extrapolation       0 25.024987 21.151250 28.898724
## 1113        BE8  357 Extrapolation       0 25.069732 21.113707 29.025758
## 1114        BE8  369 Extrapolation       0 25.113682 21.069396 29.157969
## 1115        BE8  380 Extrapolation       0 25.149951 21.026136 29.273765
## 1116        BE8  392 Extrapolation       0 25.185574 20.976497 29.394651
## 1117        BE8  403 Extrapolation       0 25.214971 20.929097 29.500845
## 1118        BE8  415 Extrapolation       0 25.243846 20.875662 29.612030
## 1119        BE8  426 Extrapolation       0 25.267673 20.825371 29.709976
## 1120        BE8  438 Extrapolation       0 25.291078 20.769354 29.812801
## 1121        BE9    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1122        BE9   18   Rarefaction       0 11.347815 10.764043 11.931588
## 1123        BE9   35   Rarefaction       0 16.420869 15.284003 17.557736
## 1124        BE9   52   Rarefaction       0 19.580958 17.989329 21.172587
## 1125        BE9   69   Rarefaction       0 21.812284 19.835954 23.788613
## 1126        BE9   86   Rarefaction       0 23.518079 21.207809 25.828349
## 1127        BE9  103   Rarefaction       0 24.890987 22.284297 27.497676
## 1128        BE9  120   Rarefaction       0 26.034800 23.159722 28.909878
## 1129        BE9  137   Rarefaction       0 27.011773 23.889233 30.134313
## 1130        BE9  155   Rarefaction       0 27.909687 24.541943 31.277431
## 1131        BE9  172   Rarefaction       0 28.658911 25.071213 32.246610
## 1132        BE9  189   Rarefaction       0 29.333755 25.534389 33.133121
## 1133        BE9  206   Rarefaction       0 29.950244 25.945428 33.955060
## 1134        BE9  223   Rarefaction       0 30.520680 26.315220 34.726140
## 1135        BE9  240   Rarefaction       0 31.054533 26.652285 35.456781
## 1136        BE9  257   Rarefaction       0 31.559108 26.963264 36.154953
## 1137        BE9  274   Rarefaction       0 32.040079 27.253305 36.826853
## 1138        BE9  291   Rarefaction       0 32.501933 27.526392 37.477475
## 1139        BE9  309   Rarefaction       0 32.974194 27.800496 38.147891
## 1140        BE9  310      Observed       0 33.000000 27.815330 38.184670
## 1141        BE9  311 Extrapolation       0 33.025765 27.830124 38.221406
## 1142        BE9  327 Extrapolation       0 33.432386 28.061383 38.803388
## 1143        BE9  343 Extrapolation       0 33.828623 28.282421 39.374824
## 1144        BE9  359 Extrapolation       0 34.214741 28.493277 39.936204
## 1145        BE9  376 Extrapolation       0 34.614193 28.706233 40.522152
## 1146        BE9  392 Extrapolation       0 34.980249 28.896341 41.064158
## 1147        BE9  408 Extrapolation       0 35.336958 29.076579 41.597338
## 1148        BE9  424 Extrapolation       0 35.684557 29.247115 42.122000
## 1149        BE9  441 Extrapolation       0 36.044160 29.417901 42.670420
## 1150        BE9  457 Extrapolation       0 36.373700 29.569081 43.178318
## 1151        BE9  473 Extrapolation       0 36.694823 29.711243 43.678403
## 1152        BE9  489 Extrapolation       0 37.007746 29.844651 44.170842
## 1153        BE9  506 Extrapolation       0 37.331476 29.977112 44.685839
## 1154        BE9  522 Extrapolation       0 37.628140 30.093345 45.162935
## 1155        BE9  538 Extrapolation       0 37.917229 30.201696 45.632762
## 1156        BE9  554 Extrapolation       0 38.198935 30.302457 46.095413
## 1157        BE9  571 Extrapolation       0 38.490369 30.401530 46.579209
## 1158        BE9  587 Extrapolation       0 38.757439 30.487567 47.027311
## 1159        BE9  603 Extrapolation       0 39.017688 30.566909 47.468468
## 1160        BE9  620 Extrapolation       0 39.286925 30.644189 47.929661
##              SC     SC.LCL     SC.UCL
## 1    0.39408233 0.32066435 0.46750032
## 2    0.81624211 0.79340912 0.83907510
## 3    0.89466850 0.87355031 0.91578669
## 4    0.92783458 0.90936847 0.94630069
## 5    0.94612194 0.93037168 0.96187220
## 6    0.95625438 0.94268938 0.96981938
## 7    0.96206318 0.95004302 0.97408334
## 8    0.96623309 0.95540730 0.97705887
## 9    0.96906748 0.95901647 0.97911849
## 10   0.97146996 0.96198288 0.98095704
## 11   0.97349012 0.96437402 0.98260622
## 12   0.97516349 0.96627307 0.98405391
## 13   0.97680512 0.96806479 0.98554545
## 14   0.97823491 0.96956954 0.98690029
## 15   0.97968357 0.97104025 0.98832689
## 16   0.98106612 0.97238857 0.98974368
## 17   0.98231255 0.97355136 0.99107374
## 18   0.98361695 0.97470709 0.99252680
## 19   0.98490566 0.97578103 0.99403029
## 20   0.98499094 0.97585382 0.99412805
## 21   0.98507574 0.97592655 0.99422492
## 22   0.98613547 0.97686561 0.99540533
## 23   0.98719272 0.97785935 0.99652610
## 24   0.98816936 0.97882659 0.99751213
## 25   0.98907151 0.97976008 0.99838295
## 26   0.98990488 0.98065516 0.99915459
## 27   0.99067469 0.98150945 0.99983994
## 28   0.99138580 0.98232221 1.00000000
## 29   0.99204269 0.98309386 1.00000000
## 30   0.99264948 0.98382547 1.00000000
## 31   0.99317142 0.98447029 1.00000000
## 32   0.99369214 0.98512913 1.00000000
## 33   0.99417315 0.98575284 1.00000000
## 34   0.99461749 0.98634327 1.00000000
## 35   0.99502793 0.98690222 1.00000000
## 36   0.99540708 0.98743147 1.00000000
## 37   0.99575732 0.98793271 1.00000000
## 38   0.99608085 0.98840755 1.00000000
## 39   0.99637971 0.98885753 1.00000000
## 40   0.99665578 0.98928412 1.00000000
## 41   0.11437151 0.09059239 0.13815062
## 42   0.71404958 0.69096707 0.73713209
## 43   0.83540700 0.81818099 0.85263301
## 44   0.89049748 0.87595890 0.90503607
## 45   0.91979580 0.90639581 0.93319579
## 46   0.93844882 0.92569516 0.95120249
## 47   0.95154502 0.93929757 0.96379248
## 48   0.96032455 0.94851567 0.97213343
## 49   0.96693307 0.95555361 0.97831252
## 50   0.97160537 0.96059486 0.98261587
## 51   0.97513590 0.96443260 0.98583920
## 52   0.97793683 0.96747423 0.98839942
## 53   0.97999182 0.96967948 0.99030415
## 54   0.98164233 0.97140713 0.99187754
## 55   0.98286542 0.97263638 0.99309445
## 56   0.98382524 0.97354580 0.99410468
## 57   0.98462189 0.97423880 0.99500497
## 58   0.98524932 0.97472431 0.99577434
## 59   0.98581560 0.97510139 0.99652982
## 60   0.98583798 0.97511504 0.99656091
## 61   0.98586031 0.97512875 0.99659188
## 62   0.98634292 0.97544565 0.99724019
## 63   0.98680906 0.97579220 0.99782593
## 64   0.98725929 0.97616595 0.99835263
## 65   0.98769415 0.97656264 0.99882566
## 66   0.98813292 0.97699673 0.99926910
## 67   0.98853796 0.97742576 0.99965016
## 68   0.98892918 0.97786419 0.99999417
## 69   0.98930704 0.97830853 1.00000000
## 70   0.98967201 0.97875585 1.00000000
## 71   0.99004026 0.97922404 1.00000000
## 72   0.99038020 0.97967031 1.00000000
## 73   0.99070854 0.98011342 1.00000000
## 74   0.99102567 0.98055205 1.00000000
## 75   0.99133198 0.98098516 1.00000000
## 76   0.99164104 0.98143115 1.00000000
## 77   0.99192634 0.98185057 1.00000000
## 78   0.99220191 0.98226246 1.00000000
## 79   0.99246807 0.98266643 1.00000000
## 80   0.99273662 0.98308002 1.00000000
## 81   0.11947921 0.09132513 0.14763328
## 82   0.63117814 0.58750658 0.67484969
## 83   0.77676632 0.74581376 0.80771888
## 84   0.83948694 0.81616352 0.86281037
## 85   0.87978514 0.86144991 0.89812037
## 86   0.90448127 0.88878981 0.92017272
## 87   0.92414755 0.91024931 0.93804580
## 88   0.93794571 0.92518125 0.95071018
## 89   0.94978668 0.93793826 0.96163510
## 90   0.95842030 0.94718977 0.96965083
## 91   0.96594844 0.95517671 0.97672018
## 92   0.97145821 0.96092607 0.98199035
## 93   0.97625071 0.96580692 0.98669451
## 94   0.97974725 0.96925164 0.99024285
## 95   0.98279641 0.97212733 0.99346549
## 96   0.98505791 0.97414284 0.99597298
## 97   0.98711297 0.97585052 0.99837541
## 98   0.98875698 0.97711159 1.00000000
## 99   0.99043062 0.97829923 1.00000000
## 100  0.99056668 0.97843261 1.00000000
## 101  0.99070080 0.97856490 1.00000000
## 102  0.99194150 0.97983377 1.00000000
## 103  0.99311595 0.98112665 1.00000000
## 104  0.99411924 0.98231639 1.00000000
## 105  0.99497630 0.98340529 1.00000000
## 106  0.99570846 0.98439768 1.00000000
## 107  0.99633391 0.98529991 1.00000000
## 108  0.99686821 0.98611949 1.00000000
## 109  0.99732464 0.98686423 1.00000000
## 110  0.99771455 0.98754182 1.00000000
## 111  0.99804763 0.98815945 1.00000000
## 112  0.99833217 0.98872372 1.00000000
## 113  0.99857524 0.98924059 1.00000000
## 114  0.99878289 0.98971536 1.00000000
## 115  0.99896027 0.99015274 1.00000000
## 116  0.99911180 0.99055689 1.00000000
## 117  0.99924125 0.99093146 1.00000000
## 118  0.99935183 0.99127966 1.00000000
## 119  0.99944629 0.99160431 1.00000000
## 120  0.99952699 0.99190787 1.00000000
## 121  0.05300481 0.04666230 0.05934732
## 122  0.58115978 0.54894257 0.61337699
## 123  0.75773938 0.73136264 0.78411612
## 124  0.83515805 0.81219515 0.85812095
## 125  0.87190831 0.85118807 0.89262856
## 126  0.89330282 0.87447333 0.91213232
## 127  0.90762563 0.89031498 0.92493627
## 128  0.91701137 0.90066572 0.93335702
## 129  0.92445702 0.90871768 0.94019635
## 130  0.93012965 0.91468250 0.94557679
## 131  0.93495832 0.91961640 0.95030025
## 132  0.93943469 0.92406462 0.95480476
## 133  0.94324420 0.92775071 0.95873768
## 134  0.94690765 0.93120080 0.96261450
## 135  0.95009555 0.93411525 0.96607586
## 136  0.95304544 0.93672450 0.96936639
## 137  0.95593049 0.93917733 0.97268365
## 138  0.95846879 0.94123731 0.97570026
## 139  0.96096096 0.94315253 0.97876940
## 140  0.96108718 0.94324698 0.97892739
## 141  0.96121300 0.94334145 0.97908454
## 142  0.96329068 0.94495004 0.98163131
## 143  0.96525706 0.94656147 0.98395265
## 144  0.96722443 0.94826398 0.98618488
## 145  0.96898010 0.94986047 0.98809972
## 146  0.97073664 0.95153054 0.98994275
## 147  0.97230417 0.95308205 0.99152630
## 148  0.97387249 0.95469178 0.99305320
## 149  0.97527204 0.95617673 0.99436736
## 150  0.97667230 0.95770829 0.99563631
## 151  0.97792188 0.95911411 0.99672965
## 152  0.97917208 0.96055805 0.99778612
## 153  0.98028776 0.96187883 0.99869669
## 154  0.98140399 0.96323150 0.99957649
## 155  0.98240011 0.96446580 1.00000000
## 156  0.98339673 0.96572733 1.00000000
## 157  0.98428611 0.96687650 1.00000000
## 158  0.98517593 0.96804935 1.00000000
## 159  0.98597000 0.96911645 1.00000000
## 160  0.98676447 0.97020445 1.00000000
## 161  0.05725589 0.04730487 0.06720692
## 162  0.57652839 0.53901136 0.61404542
## 163  0.74386529 0.71405355 0.77367704
## 164  0.81844951 0.79446033 0.84243870
## 165  0.85726199 0.83618325 0.87834073
## 166  0.88286083 0.86318338 0.90253828
## 167  0.90032027 0.88137650 0.91926404
## 168  0.91248100 0.89406146 0.93090053
## 169  0.92225218 0.90435254 0.94015183
## 170  0.92985846 0.91246985 0.94724707
## 171  0.93563297 0.91870330 0.95256264
## 172  0.94058412 0.92407948 0.95708875
## 173  0.94467832 0.92851061 0.96084604
## 174  0.94798360 0.93203487 0.96393233
## 175  0.95101639 0.93517996 0.96685282
## 176  0.95372344 0.93787404 0.96957284
## 177  0.95608651 0.94011051 0.97206250
## 178  0.95842760 0.94220343 0.97465177
## 179  0.96067416 0.94409070 0.97725761
## 180  0.96078462 0.94418066 0.97738858
## 181  0.96089478 0.94427032 0.97751924
## 182  0.96282550 0.94583854 0.97981246
## 183  0.96476016 0.94742113 0.98209919
## 184  0.96659414 0.94895052 0.98423776
## 185  0.96824347 0.95036171 0.98612523
## 186  0.96989617 0.95181787 0.98797446
## 187  0.97146286 0.95324278 0.98968293
## 188  0.97287180 0.95456486 0.99117875
## 189  0.97428363 0.95593094 0.99263632
## 190  0.97562198 0.95726618 0.99397778
## 191  0.97682558 0.95850191 0.99514925
## 192  0.97803164 0.95977461 0.99628868
## 193  0.97917494 0.96101399 0.99733588
## 194  0.98020312 0.96215685 0.99824939
## 195  0.98123341 0.96332976 0.99913706
## 196  0.98221007 0.96446805 0.99995209
## 197  0.98308841 0.96551446 1.00000000
## 198  0.98396853 0.96658533 1.00000000
## 199  0.98480285 0.96762187 1.00000000
## 200  0.98559375 0.96862445 1.00000000
## 201  0.03682835 0.02705056 0.04660614
## 202  0.27403259 0.22328515 0.32478002
## 203  0.45201076 0.39247840 0.51154312
## 204  0.55989982 0.50211495 0.61768470
## 205  0.64541219 0.59193870 0.69888567
## 206  0.70632991 0.65736575 0.75529408
## 207  0.74681793 0.70153167 0.79210419
## 208  0.78188501 0.74019746 0.82357256
## 209  0.80642380 0.76740894 0.84543865
## 210  0.82864398 0.79204976 0.86523821
## 211  0.84663367 0.81188429 0.88138304
## 212  0.85993318 0.82638779 0.89347857
## 213  0.87255114 0.83991600 0.90518627
## 214  0.88211067 0.84991661 0.91430472
## 215  0.89137544 0.85928168 0.92346920
## 216  0.89936198 0.86696066 0.93176330
## 217  0.90558183 0.87257331 0.93859035
## 218  0.91175740 0.87770211 0.94581268
## 219  0.91719745 0.88172514 0.95266977
## 220  0.91776515 0.88211955 0.95341074
## 221  0.91832895 0.88251223 0.95414567
## 222  0.92270243 0.88561109 0.95979377
## 223  0.92684171 0.88867236 0.96501106
## 224  0.93075933 0.89172147 0.96979720
## 225  0.93446717 0.89476274 0.97417159
## 226  0.93840168 0.89816749 0.97863587
## 227  0.94170027 0.90116809 0.98223245
## 228  0.94482222 0.90413297 0.98551146
## 229  0.94777698 0.90705181 0.98850215
## 230  0.95057352 0.90991553 0.99123151
## 231  0.95354103 0.91306195 0.99402011
## 232  0.95602890 0.91578523 0.99627258
## 233  0.95838355 0.91843457 0.99833254
## 234  0.96061211 0.92100671 1.00000000
## 235  0.96272133 0.92349949 1.00000000
## 236  0.96495950 0.92620750 1.00000000
## 237  0.96683592 0.92852850 1.00000000
## 238  0.96861185 0.93076869 1.00000000
## 239  0.97029268 0.93292887 1.00000000
## 240  0.97207628 0.93526493 1.00000000
## 241  0.13215078 0.10955246 0.15474910
## 242  0.72643572 0.69802058 0.75485085
## 243  0.83848639 0.82040745 0.85656533
## 244  0.89160836 0.87740787 0.90580886
## 245  0.92214179 0.90967307 0.93461052
## 246  0.94216735 0.93071310 0.95362159
## 247  0.95478907 0.94405821 0.96551993
## 248  0.96365660 0.95355423 0.97375897
## 249  0.97009658 0.96055228 0.97964088
## 250  0.97511102 0.96608445 0.98413758
## 251  0.97870991 0.97011405 0.98730576
## 252  0.98150301 0.97328149 0.98972453
## 253  0.98371261 0.97580895 0.99161627
## 254  0.98549713 0.97785188 0.99314238
## 255  0.98704331 0.97960053 0.99448610
## 256  0.98828703 0.98096446 0.99560961
## 257  0.98938008 0.98210110 0.99665906
## 258  0.99037796 0.98305942 0.99769651
## 259  0.99137931 0.98392139 0.99883723
## 260  0.99142871 0.98376748 0.99908995
## 261  0.99147783 0.98382313 0.99913253
## 262  0.99231537 0.98480160 0.99982914
## 263  0.99307060 0.98573631 1.00000000
## 264  0.99375160 0.98662255 1.00000000
## 265  0.99439797 0.98750125 1.00000000
## 266  0.99494852 0.98827883 1.00000000
## 267  0.99544497 0.98900403 1.00000000
## 268  0.99589263 0.98967899 1.00000000
## 269  0.99631751 0.99033990 1.00000000
## 270  0.99667942 0.99092027 1.00000000
## 271  0.99700576 0.99145913 1.00000000
## 272  0.99730003 0.99195937 1.00000000
## 273  0.99757932 0.99244857 1.00000000
## 274  0.99781722 0.99287799 1.00000000
## 275  0.99803174 0.99327683 1.00000000
## 276  0.99822518 0.99364741 1.00000000
## 277  0.99840877 0.99401030 1.00000000
## 278  0.99856516 0.99432944 1.00000000
## 279  0.99870617 0.99462648 1.00000000
## 280  0.99884001 0.99491796 1.00000000
## 281  0.05198749 0.04234629 0.06162868
## 282  0.43754019 0.39285901 0.48222137
## 283  0.63897359 0.60058816 0.67735903
## 284  0.73718182 0.70770110 0.76666254
## 285  0.80193859 0.77957540 0.82430178
## 286  0.84173097 0.82317542 0.86028652
## 287  0.87343395 0.85692730 0.88994061
## 288  0.89585196 0.88014035 0.91156358
## 289  0.91544932 0.90004936 0.93084928
## 290  0.93016543 0.91483442 0.94549643
## 291  0.94351930 0.92818869 0.95884992
## 292  0.95379194 0.93846202 0.96912187
## 293  0.96326122 0.94796380 0.97855865
## 294  0.97062393 0.95538651 0.98586136
## 295  0.97745852 0.96229877 0.99261827
## 296  0.98279492 0.96768436 0.99790549
## 297  0.98775628 0.97262670 1.00000000
## 298  0.99162708 0.97636479 1.00000000
## 299  0.99521531 0.97962765 1.00000000
## 300  0.99547629 0.97986596 1.00000000
## 301  0.99572304 0.98009047 1.00000000
## 302  0.99755915 0.98174493 1.00000000
## 303  0.99868299 0.98278454 1.00000000
## 304  0.99928938 0.98343237 1.00000000
## 305  0.99961657 0.98390775 1.00000000
## 306  0.99979311 0.98431502 1.00000000
## 307  0.99988837 0.98470110 1.00000000
## 308  0.99993977 0.98508478 1.00000000
## 309  0.99996750 0.98547161 1.00000000
## 310  0.99998246 0.98586128 1.00000000
## 311  0.99999054 0.98625133 1.00000000
## 312  0.99999489 0.98663881 1.00000000
## 313  0.99999725 0.98702101 1.00000000
## 314  0.99999851 0.98739575 1.00000000
## 315  0.99999920 0.98776138 1.00000000
## 316  0.99999957 0.98811674 1.00000000
## 317  0.99999977 0.98846109 1.00000000
## 318  0.99999987 0.98879402 1.00000000
## 319  0.99999993 0.98911536 1.00000000
## 320  0.99999996 0.98942513 1.00000000
## 321  0.09209698 0.07603273 0.10816122
## 322  0.62912716 0.59826596 0.65998836
## 323  0.75093741 0.72232067 0.77955416
## 324  0.81475665 0.78823747 0.84127583
## 325  0.85078840 0.82623711 0.87533968
## 326  0.87581479 0.85292762 0.89870197
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## 919  0.97932830 0.95806498 1.00000000
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## 1008 0.91153339 0.88719505 0.93587173
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## 1022 0.96317198 0.94204307 0.98430088
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## 1034 0.97706924 0.95573557 0.99840291
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## 1036 0.97882306 0.95781169 0.99983442
## 1037 0.97964900 0.95881370 1.00000000
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## 1042 0.83973690 0.82435108 0.85512272
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## 1044 0.93536280 0.92517934 0.94554627
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## 1074 0.99371258 0.98719658 1.00000000
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## 1086 0.89495366 0.87383237 0.91607496
## 1087 0.91789044 0.89871107 0.93706981
## 1088 0.93433024 0.91677028 0.95189020
## 1089 0.94640010 0.93013079 0.96266940
## 1090 0.95544358 0.94015534 0.97073182
## 1091 0.96234671 0.94777453 0.97691890
## 1092 0.96771483 0.95364818 0.98178147
## 1093 0.97197212 0.95825117 0.98569306
## 1094 0.97541997 0.96192474 0.98891521
## 1095 0.97827310 0.96491121 0.99163499
## 1096 0.98068353 0.96737922 0.99398784
## 1097 0.98275793 0.96944266 0.99607320
## 1098 0.98457089 0.97117483 0.99796696
## 1099 0.98630137 0.97272741 0.99987533
## 1100 0.98642590 0.97284985 1.00000000
## 1101 0.98654930 0.97297225 1.00000000
## 1102 0.98783487 0.97431281 1.00000000
## 1103 0.98899757 0.97562450 1.00000000
## 1104 0.99013960 0.97699514 1.00000000
## 1105 0.99108202 0.97818095 1.00000000
## 1106 0.99200769 0.97939019 1.00000000
## 1107 0.99277157 0.98042051 1.00000000
## 1108 0.99352187 0.98146199 1.00000000
## 1109 0.99414102 0.98234517 1.00000000
## 1110 0.99474918 0.98323610 1.00000000
## 1111 0.99525103 0.98399136 1.00000000
## 1112 0.99574397 0.98475387 1.00000000
## 1113 0.99615074 0.98540128 1.00000000
## 1114 0.99655029 0.98605629 1.00000000
## 1115 0.99688000 0.98661383 1.00000000
## 1116 0.99720385 0.98717948 1.00000000
## 1117 0.99747110 0.98766240 1.00000000
## 1118 0.99773359 0.98815388 1.00000000
## 1119 0.99795021 0.98857486 1.00000000
## 1120 0.99816297 0.98900475 1.00000000
## 1121 0.06994467 0.05767723 0.08221211
## 1122 0.61280361 0.57392831 0.65167891
## 1123 0.77559181 0.74187233 0.80931129
## 1124 0.84858102 0.81949607 0.87766598
## 1125 0.88763736 0.86220153 0.91307320
## 1126 0.91132824 0.88866836 0.93398813
## 1127 0.92712485 0.90653866 0.94771103
## 1128 0.93838891 0.91932353 0.95745429
## 1129 0.94677884 0.92880928 0.96474839
## 1130 0.95352031 0.93637482 0.97066580
## 1131 0.95842169 0.94183813 0.97500524
## 1132 0.96225639 0.94609846 0.97841433
## 1133 0.96527460 0.94945360 0.98109560
## 1134 0.96766469 0.95211879 0.98321059
## 1135 0.96957087 0.95424955 0.98489219
## 1136 0.97110286 0.95595637 0.98624936
## 1137 0.97234201 0.95731495 0.98736908
## 1138 0.97334585 0.95837387 0.98831783
## 1139 0.97419355 0.95919864 0.98918845
## 1140 0.97423524 0.95923675 0.98923372
## 1141 0.97427686 0.95927470 0.98927902
## 1142 0.97493376 0.95986268 0.99000485
## 1143 0.97557389 0.96042220 0.99072557
## 1144 0.97619766 0.96096232 0.99143301
## 1145 0.97684298 0.96152229 0.99216367
## 1146 0.97743435 0.96204118 0.99282752
## 1147 0.97801062 0.96255550 0.99346574
## 1148 0.97857217 0.96306741 0.99407692
## 1149 0.97915311 0.96361023 0.99469598
## 1150 0.97968548 0.96412091 0.99525005
## 1151 0.98020426 0.96463176 0.99577676
## 1152 0.98070979 0.96514282 0.99627675
## 1153 0.98123278 0.96568589 0.99677966
## 1154 0.98171204 0.96619675 0.99722733
## 1155 0.98217907 0.96670696 0.99765117
## 1156 0.98263416 0.96721607 0.99805226
## 1157 0.98310498 0.96775525 0.99845471
## 1158 0.98353643 0.96826057 0.99881230
## 1159 0.98395687 0.96876332 0.99915041
## 1160 0.98439182 0.96929417 0.99948947
## 
## $coverage_based
##      Assemblage         SC    m        Method Order.q        qD     qD.LCL
## 1          BE10 0.39408454    1   Rarefaction       0  1.000005  0.8559070
## 2          BE10 0.81624219   15   Rarefaction       0  5.138523  4.2226412
## 3          BE10 0.89466844   30   Rarefaction       0  7.261202  6.0830976
## 4          BE10 0.92783460   44   Rarefaction       0  8.493793  7.0424124
## 5          BE10 0.94612196   59   Rarefaction       0  9.433918  7.7104873
## 6          BE10 0.95625439   74   Rarefaction       0 10.164353  8.1905599
## 7          BE10 0.96206318   88   Rarefaction       0 10.736163  8.5640535
## 8          BE10 0.96623309  103   Rarefaction       0 11.274110  8.9325367
## 9          BE10 0.96906748  117   Rarefaction       0 11.727560  9.2555013
## 10         BE10 0.97146996  132   Rarefaction       0 12.174118  9.5796286
## 11         BE10 0.97349012  147   Rarefaction       0 12.587567  9.8809598
## 12         BE10 0.97516349  161   Rarefaction       0 12.947639 10.1401815
## 13         BE10 0.97680512  176   Rarefaction       0 13.308532 10.3840935
## 14         BE10 0.97823491  190   Rarefaction       0 13.623868 10.5589647
## 15         BE10 0.97968357  205   Rarefaction       0 13.940110 10.7133626
## 16         BE10 0.98106612  220   Rarefaction       0 14.235107 10.8340758
## 17         BE10 0.98231255  234   Rarefaction       0 14.492039 10.9126634
## 18         BE10 0.98361695  249   Rarefaction       0 14.748190 10.9743326
## 19         BE10 0.98490566  263   Rarefaction       0 14.973973 11.0050465
## 20         BE10 0.98499094  265      Observed       0 15.000000 11.0156094
## 21         BE10 0.98507574  266 Extrapolation       0 15.015009 11.0140745
## 22         BE10 0.98613547  279 Extrapolation       0 15.202582 11.0069759
## 23         BE10 0.98719272  293 Extrapolation       0 15.389716 10.9884943
## 24         BE10 0.98816936  307 Extrapolation       0 15.562580 10.9561736
## 25         BE10 0.98907151  321 Extrapolation       0 15.722262 10.9134887
## 26         BE10 0.98990488  335 Extrapolation       0 15.869767 10.8675616
## 27         BE10 0.99067469  349 Extrapolation       0 16.006024 10.8177378
## 28         BE10 0.99138580  363 Extrapolation       0 16.131891 10.7661956
## 29         BE10 0.99204269  377 Extrapolation       0 16.248159 10.7144557
## 30         BE10 0.99264948  391 Extrapolation       0 16.355562 10.6631803
## 31         BE10 0.99317142  404 Extrapolation       0 16.447945 10.6162187
## 32         BE10 0.99369214  418 Extrapolation       0 16.540113 10.5668657
## 33         BE10 0.99417315  432 Extrapolation       0 16.625252 10.5192183
## 34         BE10 0.99461749  446 Extrapolation       0 16.703899 10.4735909
## 35         BE10 0.99502793  460 Extrapolation       0 16.776548 10.4301953
## 36         BE10 0.99540708  474 Extrapolation       0 16.843658 10.3891550
## 37         BE10 0.99575732  488 Extrapolation       0 16.905650 10.3505173
## 38         BE10 0.99608085  502 Extrapolation       0 16.962915 10.3142529
## 39         BE10 0.99637971  516 Extrapolation       0 17.015813 10.2803231
## 40         BE10 0.99665578  530 Extrapolation       0 17.064677 10.2485633
## 41         BE11 0.11437155    1   Rarefaction       0  1.000000  0.8936266
## 42         BE11 0.71404943   24   Rarefaction       0 12.039820 10.7252900
## 43         BE11 0.83540696   47   Rarefaction       0 17.059839 15.3509156
## 44         BE11 0.89049749   71   Rarefaction       0 20.301219 18.2907891
## 45         BE11 0.91979579   94   Rarefaction       0 22.469925 20.1832762
## 46         BE11 0.93844882  117   Rarefaction       0 24.094760 21.4937240
## 47         BE11 0.95154503  141   Rarefaction       0 25.411433 22.4304535
## 48         BE11 0.96032454  164   Rarefaction       0 26.423741 23.0287695
## 49         BE11 0.96693307  188   Rarefaction       0 27.295731 23.4035690
## 50         BE11 0.97160537  211   Rarefaction       0 28.002310 23.5105801
## 51         BE11 0.97513590  234   Rarefaction       0 28.614707 23.0253190
## 52         BE11 0.97793683  258   Rarefaction       0 29.177696 22.1110342
## 53         BE11 0.97999182  281   Rarefaction       0 29.661528 21.3400967
## 54         BE11 0.98164234  305   Rarefaction       0 30.121871 20.7333940
## 55         BE11 0.98286542  328   Rarefaction       0 30.530064 20.3354373
## 56         BE11 0.98382524  351   Rarefaction       0 30.913169 20.0846311
## 57         BE11 0.98462189  375   Rarefaction       0 31.291853 19.9333751
## 58         BE11 0.98524932  398   Rarefaction       0 31.638444 19.8636367
## 59         BE11 0.98581560  421   Rarefaction       0 31.975202 19.8251800
## 60         BE11 0.98583798  423      Observed       0 32.000000 19.8348774
## 61         BE11 0.98586031  424 Extrapolation       0 32.014162 19.8347847
## 62         BE11 0.98634292  446 Extrapolation       0 32.320137 19.8195703
## 63         BE11 0.98680906  468 Extrapolation       0 32.615669 19.8036102
## 64         BE11 0.98725929  490 Extrapolation       0 32.901113 19.7875311
## 65         BE11 0.98769415  512 Extrapolation       0 33.176815 19.7720073
## 66         BE11 0.98813292  535 Extrapolation       0 33.454993 19.7573797
## 67         BE11 0.98853796  557 Extrapolation       0 33.711790 19.7448808
## 68         BE11 0.98892918  579 Extrapolation       0 33.959822 19.7319296
## 69         BE11 0.98930704  601 Extrapolation       0 34.199389 19.7190781
## 70         BE11 0.98967201  623 Extrapolation       0 34.430778 19.7069403
## 71         BE11 0.99004026  646 Extrapolation       0 34.664246 19.6959806
## 72         BE11 0.99038020  668 Extrapolation       0 34.879769 19.6893160
## 73         BE11 0.99070854  690 Extrapolation       0 35.087936 19.6910254
## 74         BE11 0.99102567  712 Extrapolation       0 35.288999 19.6837161
## 75         BE11 0.99133198  734 Extrapolation       0 35.483198 19.6755459
## 76         BE11 0.99164104  757 Extrapolation       0 35.679142 19.6662579
## 77         BE11 0.99192634  779 Extrapolation       0 35.860025 19.6568102
## 78         BE11 0.99220191  801 Extrapolation       0 36.034734 19.6469464
## 79         BE11 0.99246807  823 Extrapolation       0 36.203481 19.6367972
## 80         BE11 0.99273662  846 Extrapolation       0 36.373742 19.6260367
## 81         BE12 0.11947921    1   Rarefaction       0  1.000000  0.8864801
## 82         BE12 0.63117812   12   Rarefaction       0  7.345013  6.0835245
## 83         BE12 0.77676623   24   Rarefaction       0 10.836122  9.2030156
## 84         BE12 0.83948693   35   Rarefaction       0 12.944977 11.1281444
## 85         BE12 0.87978515   47   Rarefaction       0 14.630595 12.7119772
## 86         BE12 0.90448130   58   Rarefaction       0 15.821996 13.8707730
## 87         BE12 0.92414757   70   Rarefaction       0 16.854248 14.9081404
## 88         BE12 0.93794572   81   Rarefaction       0 17.616638 15.6862880
## 89         BE12 0.94978665   93   Rarefaction       0 18.293312 16.3719873
## 90         BE12 0.95842030  104   Rarefaction       0 18.800802 16.8767265
## 91         BE12 0.96594846  116   Rarefaction       0 19.256609 17.3130985
## 92         BE12 0.97145820  127   Rarefaction       0 19.602545 17.6102544
## 93         BE12 0.97625071  139   Rarefaction       0 19.917558 17.7602550
## 94         BE12 0.97974725  150   Rarefaction       0 20.160627 17.7087435
## 95         BE12 0.98279641  162   Rarefaction       0 20.386195 17.6040444
## 96         BE12 0.98505792  173   Rarefaction       0 20.563733 17.4850933
## 97         BE12 0.98711297  185   Rarefaction       0 20.731389 17.3935364
## 98         BE12 0.98875698  196   Rarefaction       0 20.864776 17.2725823
## 99         BE12 0.99043062  208   Rarefaction       0 20.989324 17.1241647
## 100        BE12 0.99056668  209      Observed       0 21.000000 17.1125252
## 101        BE12 0.99070080  210 Extrapolation       0 21.009433 17.0991884
## 102        BE12 0.99194150  220 Extrapolation       0 21.096696 16.9717298
## 103        BE12 0.99311595  231 Extrapolation       0 21.179299 16.8448250
## 104        BE12 0.99411924  242 Extrapolation       0 21.249863 16.7320264
## 105        BE12 0.99497630  253 Extrapolation       0 21.310144 16.6326838
## 106        BE12 0.99570846  264 Extrapolation       0 21.361639 16.5458513
## 107        BE12 0.99633391  275 Extrapolation       0 21.405629 16.4704300
## 108        BE12 0.99686821  286 Extrapolation       0 21.443208 16.4051443
## 109        BE12 0.99732464  297 Extrapolation       0 21.475310 16.3487720
## 110        BE12 0.99771455  308 Extrapolation       0 21.502734 16.3001909
## 111        BE12 0.99804763  319 Extrapolation       0 21.526160 16.2583864
## 112        BE12 0.99833217  330 Extrapolation       0 21.546173 16.2224585
## 113        BE12 0.99857524  341 Extrapolation       0 21.563269 16.1916097
## 114        BE12 0.99878289  352 Extrapolation       0 21.577873 16.1651447
## 115        BE12 0.99896027  363 Extrapolation       0 21.590349 16.1424542
## 116        BE12 0.99911180  374 Extrapolation       0 21.601007 16.1230117
## 117        BE12 0.99924125  385 Extrapolation       0 21.610111 16.1063594
## 118        BE12 0.99935183  396 Extrapolation       0 21.617889 16.0921001
## 119        BE12 0.99944629  407 Extrapolation       0 21.624533 16.0798986
## 120        BE12 0.99952699  418 Extrapolation       0 21.630209 16.0694543
## 121        BE13 0.05300481    1   Rarefaction       0  1.000000  0.9729464
## 122        BE13 0.58115955   19   Rarefaction       0 12.630229 11.3480736
## 123        BE13 0.75773941   37   Rarefaction       0 18.418020 16.5072410
## 124        BE13 0.83515803   56   Rarefaction       0 22.229057 19.7240945
## 125        BE13 0.87190830   74   Rarefaction       0 24.851476 21.8086793
## 126        BE13 0.89330283   92   Rarefaction       0 26.959730 23.4261415
## 127        BE13 0.90762563  111   Rarefaction       0 28.848596 24.8512142
## 128        BE13 0.91701137  129   Rarefaction       0 30.427140 26.0392510
## 129        BE13 0.92445702  148   Rarefaction       0 31.933920 27.1789713
## 130        BE13 0.93012965  166   Rarefaction       0 33.243929 28.1731309
## 131        BE13 0.93495832  184   Rarefaction       0 34.459532 29.0912385
## 132        BE13 0.93943469  203   Rarefaction       0 35.654193 29.9781152
## 133        BE13 0.94324420  221   Rarefaction       0 36.711439 30.7377663
## 134        BE13 0.94690765  240   Rarefaction       0 37.756304 31.4512102
## 135        BE13 0.95009556  258   Rarefaction       0 38.684491 32.0401841
## 136        BE13 0.95304544  276   Rarefaction       0 39.557362 32.5393674
## 137        BE13 0.95593050  295   Rarefaction       0 40.423183 32.9566152
## 138        BE13 0.95846878  313   Rarefaction       0 41.194587 33.2758566
## 139        BE13 0.96096096  332   Rarefaction       0 41.946537 33.5387652
## 140        BE13 0.96108718  333      Observed       0 42.000000 33.5628140
## 141        BE13 0.96121300  334 Extrapolation       0 42.038913 33.5727813
## 142        BE13 0.96329068  351 Extrapolation       0 42.681509 33.7472687
## 143        BE13 0.96525706  368 Extrapolation       0 43.289684 33.8747271
## 144        BE13 0.96722443  386 Extrapolation       0 43.898162 33.9617703
## 145        BE13 0.96898010  403 Extrapolation       0 44.441165 34.0099640
## 146        BE13 0.97073664  421 Extrapolation       0 44.984440 34.0341715
## 147        BE13 0.97230417  438 Extrapolation       0 45.469255 34.0377123
## 148        BE13 0.97387249  456 Extrapolation       0 45.954312 34.0262243
## 149        BE13 0.97527204  473 Extrapolation       0 46.387175 34.0049654
## 150        BE13 0.97667230  491 Extrapolation       0 46.820254 33.9742353
## 151        BE13 0.97792188  508 Extrapolation       0 47.206731 33.9383361
## 152        BE13 0.97917208  526 Extrapolation       0 47.593401 33.8949635
## 153        BE13 0.98028776  543 Extrapolation       0 47.938464 33.8497482
## 154        BE13 0.98140399  561 Extrapolation       0 48.283699 33.7983425
## 155        BE13 0.98240011  578 Extrapolation       0 48.591784 33.7475607
## 156        BE13 0.98339673  596 Extrapolation       0 48.900024 33.6926909
## 157        BE13 0.98428611  613 Extrapolation       0 49.175096 33.6405099
## 158        BE13 0.98517593  631 Extrapolation       0 49.450305 33.5854098
## 159        BE13 0.98597000  648 Extrapolation       0 49.695900 33.5340237
## 160        BE13 0.98676447  666 Extrapolation       0 49.941617 33.4806539
## 161        BE14 0.05725589    1   Rarefaction       0  1.000000  0.9321714
## 162        BE14 0.57652840   20   Rarefaction       0 13.090894 11.3714530
## 163        BE14 0.74386538   40   Rarefaction       0 19.715455 17.1747969
## 164        BE14 0.81844953   60   Rarefaction       0 24.044830 20.8876797
## 165        BE14 0.85726202   79   Rarefaction       0 27.113811 23.4319998
## 166        BE14 0.88286082   99   Rarefaction       0 29.707402 25.4767499
## 167        BE14 0.90032026  119   Rarefaction       0 31.874375 27.0951320
## 168        BE14 0.91248101  138   Rarefaction       0 33.653498 28.3574590
## 169        BE14 0.92225218  158   Rarefaction       0 35.306795 29.4676444
## 170        BE14 0.92985846  178   Rarefaction       0 36.786474 30.3925257
## 171        BE14 0.93563297  197   Rarefaction       0 38.065288 31.1076656
## 172        BE14 0.94058411  217   Rarefaction       0 39.303941 31.6678465
## 173        BE14 0.94467832  237   Rarefaction       0 40.452149 32.1049082
## 174        BE14 0.94798360  256   Rarefaction       0 41.472750 32.5049303
## 175        BE14 0.95101639  276   Rarefaction       0 42.483623 32.9176801
## 176        BE14 0.95372344  296   Rarefaction       0 43.437130 33.3329572
## 177        BE14 0.95608650  315   Rarefaction       0 44.294855 33.7225158
## 178        BE14 0.95842760  335   Rarefaction       0 45.150687 34.1185387
## 179        BE14 0.96067416  354   Rarefaction       0 45.937157 34.4693901
## 180        BE14 0.96078462  356      Observed       0 46.000000 34.5125505
## 181        BE14 0.96089478  357 Extrapolation       0 46.039215 34.5283989
## 182        BE14 0.96282550  375 Extrapolation       0 46.726552 34.8484544
## 183        BE14 0.96476016  394 Extrapolation       0 47.415292 35.1507951
## 184        BE14 0.96659414  413 Extrapolation       0 48.068189 35.3557518
## 185        BE14 0.96824347  431 Extrapolation       0 48.655350 35.4722830
## 186        BE14 0.96989617  450 Extrapolation       0 49.243710 35.5329454
## 187        BE14 0.97146286  469 Extrapolation       0 49.801451 35.5362935
## 188        BE14 0.97287180  487 Extrapolation       0 50.303037 35.4974747
## 189        BE14 0.97428363  506 Extrapolation       0 50.805647 35.4178551
## 190        BE14 0.97562198  525 Extrapolation       0 51.282100 35.3082567
## 191        BE14 0.97682558  543 Extrapolation       0 51.710582 35.1842091
## 192        BE14 0.97803164  562 Extrapolation       0 52.139940 35.0380084
## 193        BE14 0.97917494  581 Extrapolation       0 52.546952 34.8811348
## 194        BE14 0.98020312  599 Extrapolation       0 52.912986 34.7261557
## 195        BE14 0.98123341  618 Extrapolation       0 53.279767 34.5591770
## 196        BE14 0.98221007  637 Extrapolation       0 53.627460 34.3904220
## 197        BE14 0.98308841  655 Extrapolation       0 53.940146 34.2307129
## 198        BE14 0.98396853  674 Extrapolation       0 54.253471 34.0636593
## 199        BE14 0.98480285  693 Extrapolation       0 54.550490 33.8992387
## 200        BE14 0.98559375  712 Extrapolation       0 54.832051 33.7382664
## 201        BE15 0.03682863    1   Rarefaction       0  1.000007  0.9448051
## 202        BE15 0.27403269    9   Rarefaction       0  7.814114  6.2691190
## 203        BE15 0.45201084   18   Rarefaction       0 13.581024 11.0330953
## 204        BE15 0.55989945   26   Rarefaction       0 17.562950 14.3651658
## 205        BE15 0.64541235   35   Rarefaction       0 21.159341 17.3854263
## 206        BE15 0.70633001   44   Rarefaction       0 24.092473 19.8466699
## 207        BE15 0.74681802   52   Rarefaction       0 26.293255 21.6873772
## 208        BE15 0.78188506   61   Rarefaction       0 28.424767 23.4617177
## 209        BE15 0.80642382   69   Rarefaction       0 30.080358 24.8316222
## 210        BE15 0.82864400   78   Rarefaction       0 31.730039 26.1859151
## 211        BE15 0.84663366   87   Rarefaction       0 33.197592 27.3741246
## 212        BE15 0.85993315   95   Rarefaction       0 34.376520 28.3004801
## 213        BE15 0.87255116  104   Rarefaction       0 35.585025 29.1663950
## 214        BE15 0.88211068  112   Rarefaction       0 36.570247 29.5542267
## 215        BE15 0.89137544  121   Rarefaction       0 37.593140 29.5681872
## 216        BE15 0.89936200  130   Rarefaction       0 38.537966 29.4045112
## 217        BE15 0.90558182  138   Rarefaction       0 39.320806 29.2100540
## 218        BE15 0.91175739  147   Rarefaction       0 40.145276 29.0113240
## 219        BE15 0.91719745  156   Rarefaction       0 40.889723 28.8274500
## 220        BE15 0.91776515  157      Observed       0 41.000000 28.8359301
## 221        BE15 0.91832895  158 Extrapolation       0 41.082235 28.8202196
## 222        BE15 0.92270243  166 Extrapolation       0 41.720138 28.6936029
## 223        BE15 0.92684171  174 Extrapolation       0 42.323882 28.5640082
## 224        BE15 0.93075933  182 Extrapolation       0 42.895295 28.4263370
## 225        BE15 0.93446717  190 Extrapolation       0 43.436109 28.2828172
## 226        BE15 0.93840168  199 Extrapolation       0 44.009986 28.1180038
## 227        BE15 0.94170027  207 Extrapolation       0 44.491108 27.9708919
## 228        BE15 0.94482222  215 Extrapolation       0 44.946466 27.8257039
## 229        BE15 0.94777698  223 Extrapolation       0 45.377440 27.6856272
## 230        BE15 0.95057352  231 Extrapolation       0 45.785336 27.5578762
## 231        BE15 0.95354103  240 Extrapolation       0 46.218168 27.4180949
## 232        BE15 0.95602890  248 Extrapolation       0 46.581042 27.2956838
## 233        BE15 0.95838355  256 Extrapolation       0 46.924485 27.1769765
## 234        BE15 0.96061211  264 Extrapolation       0 47.249536 27.0613537
## 235        BE15 0.96272133  272 Extrapolation       0 47.557180 26.9495494
## 236        BE15 0.96495950  281 Extrapolation       0 47.883633 26.8279426
## 237        BE15 0.96683592  289 Extrapolation       0 48.157322 26.7237013
## 238        BE15 0.96861185  297 Extrapolation       0 48.416355 26.6203685
## 239        BE15 0.97029268  305 Extrapolation       0 48.661516 26.5266420
## 240        BE15 0.97207628  314 Extrapolation       0 48.921666 26.4226583
## 241        BE16 0.13215078    1   Rarefaction       0  1.000000  0.9158972
## 242        BE16 0.72643580   20   Rarefaction       0  9.838873  8.3928881
## 243        BE16 0.83848640   39   Rarefaction       0 13.870647 12.1930500
## 244        BE16 0.89160832   58   Rarefaction       0 16.410253 14.6276588
## 245        BE16 0.92214177   77   Rarefaction       0 18.170956 16.2787186
## 246        BE16 0.94216733   97   Rarefaction       0 19.523011 17.5021929
## 247        BE16 0.95478907  116   Rarefaction       0 20.500838 18.3500551
## 248        BE16 0.96365661  135   Rarefaction       0 21.275370 18.9865121
## 249        BE16 0.97009659  154   Rarefaction       0 21.904830 19.4668592
## 250        BE16 0.97511101  174   Rarefaction       0 22.452784 19.8441677
## 251        BE16 0.97870991  193   Rarefaction       0 22.891794 20.1105232
## 252        BE16 0.98150301  212   Rarefaction       0 23.270094 20.3140152
## 253        BE16 0.98371261  231   Rarefaction       0 23.600869 20.4794515
## 254        BE16 0.98549713  250   Rarefaction       0 23.893699 20.6252318
## 255        BE16 0.98704331  270   Rarefaction       0 24.168590 20.7641233
## 256        BE16 0.98828703  289   Rarefaction       0 24.403287 20.8779072
## 257        BE16 0.98938008  308   Rarefaction       0 24.615804 20.9563106
## 258        BE16 0.99037797  327   Rarefaction       0 24.808491 21.0367644
## 259        BE16 0.99137931  346   Rarefaction       0 24.985996 21.1406236
## 260        BE16 0.99142871  348      Observed       0 25.000000 21.1509221
## 261        BE16 0.99147783  349 Extrapolation       0 25.008571 21.1544543
## 262        BE16 0.99231537  367 Extrapolation       0 25.154722 21.2092891
## 263        BE16 0.99307060  385 Extrapolation       0 25.286509 21.2483905
## 264        BE16 0.99375160  403 Extrapolation       0 25.405344 21.2765729
## 265        BE16 0.99439797  422 Extrapolation       0 25.518135 21.2992689
## 266        BE16 0.99494852  440 Extrapolation       0 25.614207 21.3141057
## 267        BE16 0.99544497  458 Extrapolation       0 25.700837 21.3230589
## 268        BE16 0.99589263  476 Extrapolation       0 25.778953 21.3278013
## 269        BE16 0.99631751  495 Extrapolation       0 25.853096 21.3297030
## 270        BE16 0.99667942  513 Extrapolation       0 25.916248 21.3297841
## 271        BE16 0.99700576  531 Extrapolation       0 25.973195 21.3298180
## 272        BE16 0.99730003  549 Extrapolation       0 26.024544 21.3295599
## 273        BE16 0.99757932  568 Extrapolation       0 26.073282 21.3238957
## 274        BE16 0.99781722  586 Extrapolation       0 26.114795 21.3181753
## 275        BE16 0.99803174  604 Extrapolation       0 26.152228 21.3123284
## 276        BE16 0.99822518  622 Extrapolation       0 26.185983 21.3065081
## 277        BE16 0.99840877  641 Extrapolation       0 26.218021 21.3005128
## 278        BE16 0.99856516  659 Extrapolation       0 26.245309 21.2950497
## 279        BE16 0.99870617  677 Extrapolation       0 26.269916 21.2898476
## 280        BE16 0.99884001  696 Extrapolation       0 26.293271 21.2846722
## 281        BE17 0.05198763    1   Rarefaction       0  1.000003  0.9500626
## 282        BE17 0.43753991   12   Rarefaction       0  9.239211  7.9166444
## 283        BE17 0.63897372   24   Rarefaction       0 14.739254 12.8350558
## 284        BE17 0.73718204   35   Rarefaction       0 18.171697 16.0029483
## 285        BE17 0.80193865   47   Rarefaction       0 20.939539 18.6308160
## 286        BE17 0.84173095   58   Rarefaction       0 22.907155 20.5437010
## 287        BE17 0.87343389   70   Rarefaction       0 24.622760 22.2332647
## 288        BE17 0.89585196   81   Rarefaction       0 25.898287 23.4844991
## 289        BE17 0.91544934   93   Rarefaction       0 27.036051 24.5726384
## 290        BE17 0.93016542  104   Rarefaction       0 27.890091 25.3501154
## 291        BE17 0.94351930  116   Rarefaction       0 28.652185 25.9896286
## 292        BE17 0.95379193  127   Rarefaction       0 29.220579 26.4041340
## 293        BE17 0.96326121  139   Rarefaction       0 29.721365 26.6823048
## 294        BE17 0.97062394  150   Rarefaction       0 30.087637 26.7356026
## 295        BE17 0.97745851  162   Rarefaction       0 30.401421 26.3865979
## 296        BE17 0.98279493  173   Rarefaction       0 30.621954 25.9174505
## 297        BE17 0.98775628  185   Rarefaction       0 30.800303 25.3405138
## 298        BE17 0.99162707  196   Rarefaction       0 30.915086 24.7646804
## 299        BE17 0.99521531  208   Rarefaction       0 30.992962 24.1355575
## 300        BE17 0.99547629  209      Observed       0 31.000000 24.0892951
## 301        BE17 0.99572304  210 Extrapolation       0 31.004524 24.0431331
## 302        BE17 0.99755915  220 Extrapolation       0 31.038186 23.6933395
## 303        BE17 0.99868299  231 Extrapolation       0 31.058789 23.4741552
## 304        BE17 0.99928938  242 Extrapolation       0 31.069907 23.3543866
## 305        BE17 0.99961657  253 Extrapolation       0 31.075905 23.2893313
## 306        BE17 0.99979311  264 Extrapolation       0 31.079142 23.2541021
## 307        BE17 0.99988837  275 Extrapolation       0 31.080888 23.2350562
## 308        BE17 0.99993977  286 Extrapolation       0 31.081830 23.2247684
## 309        BE17 0.99996750  297 Extrapolation       0 31.082339 23.2192123
## 310        BE17 0.99998246  308 Extrapolation       0 31.082613 23.2162138
## 311        BE17 0.99999054  319 Extrapolation       0 31.082761 23.2145956
## 312        BE17 0.99999489  330 Extrapolation       0 31.082841 23.2137225
## 313        BE17 0.99999725  341 Extrapolation       0 31.082884 23.2132513
## 314        BE17 0.99999851  352 Extrapolation       0 31.082907 23.2129971
## 315        BE17 0.99999920  363 Extrapolation       0 31.082920 23.2128599
## 316        BE17 0.99999957  374 Extrapolation       0 31.082927 23.2127859
## 317        BE17 0.99999977  385 Extrapolation       0 31.082930 23.2127460
## 318        BE17 0.99999987  396 Extrapolation       0 31.082932 23.2127244
## 319        BE17 0.99999993  407 Extrapolation       0 31.082933 23.2127128
## 320        BE17 0.99999996  418 Extrapolation       0 31.082934 23.2127065
## 321        BE18 0.09209837    1   Rarefaction       0  1.000015  0.9106859
## 322        BE18 0.62912716   21   Rarefaction       0 12.112883 10.4166961
## 323        BE18 0.75093743   41   Rarefaction       0 18.210636 15.6619431
## 324        BE18 0.81475664   62   Rarefaction       0 22.736554 19.4095550
## 325        BE18 0.85078840   82   Rarefaction       0 26.072385 22.0711776
## 326        BE18 0.87581477  103   Rarefaction       0 28.939057 24.2491335
## 327        BE18 0.89282127  123   Rarefaction       0 31.252804 25.8956429
## 328        BE18 0.90629084  144   Rarefaction       0 33.362582 27.2849516
## 329        BE18 0.91631973  164   Rarefaction       0 35.137729 28.3514882
## 330        BE18 0.92476065  185   Rarefaction       0 36.807404 29.2314898
## 331        BE18 0.93130597  205   Rarefaction       0 38.247900 29.8253558
## 332        BE18 0.93671757  225   Rarefaction       0 39.568693 30.1040215
## 333        BE18 0.94142393  246   Rarefaction       0 40.848993 30.2749866
## 334        BE18 0.94514889  266   Rarefaction       0 41.984017 30.4403698
## 335        BE18 0.94840708  287   Rarefaction       0 43.102250 30.6495546
## 336        BE18 0.95099661  307   Rarefaction       0 44.108755 30.8891563
## 337        BE18 0.95327517  328   Rarefaction       0 45.114333 31.1945589
## 338        BE18 0.95510772  348   Rarefaction       0 46.030936 31.5202706
## 339        BE18 0.95675676  368   Rarefaction       0 46.916623 31.7695008
## 340        BE18 0.95682988  370      Observed       0 47.000000 31.8228345
## 341        BE18 0.95690287  371 Extrapolation       0 47.043170 31.8349231
## 342        BE18 0.95826659  390 Extrapolation       0 47.849673 32.0387295
## 343        BE18 0.95958716  409 Extrapolation       0 48.630655 32.1884760
## 344        BE18 0.96093211  429 Extrapolation       0 49.426060 32.2953473
## 345        BE18 0.96216833  448 Extrapolation       0 50.157161 32.3543635
## 346        BE18 0.96342738  468 Extrapolation       0 50.901762 32.3870469
## 347        BE18 0.96458464  487 Extrapolation       0 51.586168 32.3964482
## 348        BE18 0.96570529  506 Extrapolation       0 52.248917 32.3924804
## 349        BE18 0.96684662  526 Extrapolation       0 52.923905 32.3600727
## 350        BE18 0.96789569  545 Extrapolation       0 53.544324 32.3072203
## 351        BE18 0.96896413  565 Extrapolation       0 54.176200 32.2322344
## 352        BE18 0.96994620  584 Extrapolation       0 54.756993 32.1462426
## 353        BE18 0.97094640  604 Extrapolation       0 55.348510 32.0437704
## 354        BE18 0.97186574  623 Extrapolation       0 55.892208 31.9379245
## 355        BE18 0.97275599  642 Extrapolation       0 56.418702 31.8262486
## 356        BE18 0.97366268  662 Extrapolation       0 56.954917 31.7040813
## 357        BE18 0.97449607  681 Extrapolation       0 57.447784 31.5842840
## 358        BE18 0.97534484  701 Extrapolation       0 57.949751 31.4561122
## 359        BE18 0.97612500  720 Extrapolation       0 58.411138 31.3333694
## 360        BE18 0.97691957  740 Extrapolation       0 58.881045 31.2015838
## 361        BE19 0.09812942    1   Rarefaction       0  1.000000  0.8872129
## 362        BE19 0.62136876   20   Rarefaction       0 11.653126 10.1152437
## 363        BE19 0.74983982   39   Rarefaction       0 17.536347 15.5975123
## 364        BE19 0.81750925   58   Rarefaction       0 21.624555 19.4238043
## 365        BE19 0.86006567   77   Rarefaction       0 24.681594 22.3249926
## 366        BE19 0.88943495   96   Rarefaction       0 27.060481 24.6246579
## 367        BE19 0.91096565  115   Rarefaction       0 28.957736 26.4835691
## 368        BE19 0.92743996  134   Rarefaction       0 30.494613 27.9938010
## 369        BE19 0.94042403  153   Rarefaction       0 31.751758 29.2113463
## 370        BE19 0.95085691  172   Rarefaction       0 32.786321 30.1711461
## 371        BE19 0.95933684  191   Rarefaction       0 33.640997 30.9010712
## 372        BE19 0.96626662  210   Rarefaction       0 34.349033 31.4356140
## 373        BE19 0.97193074  229   Rarefaction       0 34.937175 31.8275928
## 374        BE19 0.97653842  248   Rarefaction       0 35.427492 32.1137545
## 375        BE19 0.98024928  267   Rarefaction       0 35.838556 32.2534893
## 376        BE19 0.98318961  286   Rarefaction       0 36.186226 32.1160238
## 377        BE19 0.98546317  305   Rarefaction       0 36.484182 31.9078483
## 378        BE19 0.98715871  324   Rarefaction       0 36.744274 31.7385376
## 379        BE19 0.98840580  343   Rarefaction       0 36.979470 31.6371661
## 380        BE19 0.98845613  345      Observed       0 37.000000 31.6440043
## 381        BE19 0.98850625  346 Extrapolation       0 37.011544 31.6431769
## 382        BE19 0.98937207  364 Extrapolation       0 37.210970 31.6014793
## 383        BE19 0.99017267  382 Extrapolation       0 37.395374 31.5553232
## 384        BE19 0.99091295  400 Extrapolation       0 37.565887 31.5071562
## 385        BE19 0.99159747  418 Extrapolation       0 37.723556 31.4584308
## 386        BE19 0.99223043  436 Extrapolation       0 37.869347 31.4100158
## 387        BE19 0.99281571  454 Extrapolation       0 38.004156 31.3625623
## 388        BE19 0.99335690  472 Extrapolation       0 38.128809 31.3165403
## 389        BE19 0.99385732  490 Extrapolation       0 38.244073 31.2722606
## 390        BE19 0.99432004  508 Extrapolation       0 38.350654 31.2296577
## 391        BE19 0.99477071  527 Extrapolation       0 38.454458 31.1875447
## 392        BE19 0.99516463  545 Extrapolation       0 38.545191 31.1496368
## 393        BE19 0.99552888  563 Extrapolation       0 38.629089 31.1138977
## 394        BE19 0.99586569  581 Extrapolation       0 38.706667 31.0802901
## 395        BE19 0.99617712  599 Extrapolation       0 38.778401 31.0487503
## 396        BE19 0.99646510  617 Extrapolation       0 38.844731 31.0192040
## 397        BE19 0.99673138  635 Extrapolation       0 38.906065 30.9915664
## 398        BE19 0.99697760  653 Extrapolation       0 38.962778 30.9657392
## 399        BE19 0.99720528  671 Extrapolation       0 39.015219 30.9414861
## 400        BE19 0.99742702  690 Extrapolation       0 39.066295 30.9180047
## 401         BE2 0.07262649    1   Rarefaction       0  1.000008  0.9590318
## 402         BE2 0.74343162   25   Rarefaction       0 13.023071 11.8514614
## 403         BE2 0.86969842   49   Rarefaction       0 17.407398 15.6612289
## 404         BE2 0.91170859   73   Rarefaction       0 19.980528 17.7809764
## 405         BE2 0.93241015   97   Rarefaction       0 21.838221 19.3137352
## 406         BE2 0.94505087  121   Rarefaction       0 23.304229 20.5427449
## 407         BE2 0.95360086  145   Rarefaction       0 24.518635 21.5716395
## 408         BE2 0.95975632  169   Rarefaction       0 25.557722 22.4567449
## 409         BE2 0.96440804  193   Rarefaction       0 26.467684 23.2327322
## 410         BE2 0.96807227  217   Rarefaction       0 27.278151 23.9194093
## 411         BE2 0.97106761  241   Rarefaction       0 28.008871 24.5235615
## 412         BE2 0.97360130  265   Rarefaction       0 28.673350 25.0419287
## 413         BE2 0.97581399  289   Rarefaction       0 29.280941 25.4575162
## 414         BE2 0.97780377  313   Rarefaction       0 29.838156 25.6337784
## 415         BE2 0.97963947  337   Rarefaction       0 30.349502 25.5605251
## 416         BE2 0.98136873  361   Rarefaction       0 30.818091 25.3612593
## 417         BE2 0.98302314  385   Rarefaction       0 31.246090 25.0790790
## 418         BE2 0.98462199  409   Rarefaction       0 31.635050 24.6983324
## 419         BE2 0.98617512  432   Rarefaction       0 31.975039 24.1931742
## 420         BE2 0.98623868  434      Observed       0 32.000000 24.1810490
## 421         BE2 0.98630195  435 Extrapolation       0 32.013761 24.1581885
## 422         BE2 0.98762262  457 Extrapolation       0 32.301007 23.6549620
## 423         BE2 0.98886738  480 Extrapolation       0 32.571742 23.1430819
## 424         BE2 0.98998695  503 Extrapolation       0 32.815250 22.6584611
## 425         BE2 0.99099394  526 Extrapolation       0 33.034269 22.2147490
## 426         BE2 0.99186224  548 Extrapolation       0 33.223124 21.8257082
## 427         BE2 0.99268063  571 Extrapolation       0 33.401124 21.4492626
## 428         BE2 0.99341672  594 Extrapolation       0 33.561224 21.1050571
## 429         BE2 0.99407878  617 Extrapolation       0 33.705222 20.7901086
## 430         BE2 0.99467426  640 Extrapolation       0 33.834739 20.5027977
## 431         BE2 0.99518773  662 Extrapolation       0 33.946419 20.2529492
## 432         BE2 0.99567169  685 Extrapolation       0 34.051680 20.0175045
## 433         BE2 0.99610697  708 Extrapolation       0 34.146354 19.8040588
## 434         BE2 0.99649848  731 Extrapolation       0 34.231508 19.6104523
## 435         BE2 0.99685062  754 Extrapolation       0 34.308098 19.4350697
## 436         BE2 0.99715426  776 Extrapolation       0 34.374140 19.2829395
## 437         BE2 0.99744045  799 Extrapolation       0 34.436386 19.1388253
## 438         BE2 0.99769786  822 Extrapolation       0 34.492372 19.0085394
## 439         BE2 0.99792938  845 Extrapolation       0 34.542727 18.8911035
## 440         BE2 0.99813761  868 Extrapolation       0 34.588019 18.7850574
## 441        BE20 0.24777798    1   Rarefaction       0  1.000000  0.7212456
## 442        BE20 0.63765407    9   Rarefaction       0  4.998873  3.2225494
## 443        BE20 0.72908010   17   Rarefaction       0  7.549565  5.2740067
## 444        BE20 0.78904434   25   Rarefaction       0  9.491691  6.7169393
## 445        BE20 0.83031142   33   Rarefaction       0 11.025321  7.6608238
## 446        BE20 0.85976895   41   Rarefaction       0 12.273574  8.1173924
## 447        BE20 0.88382201   50   Rarefaction       0 13.433703  8.0394970
## 448        BE20 0.89977722   58   Rarefaction       0 14.304538  7.1251492
## 449        BE20 0.91214270   66   Rarefaction       0 15.061033  4.6341617
## 450        BE20 0.92183727   74   Rarefaction       0 15.728438  1.8280720
## 451        BE20 0.92947966   82   Rarefaction       0 16.325806  0.0000000
## 452        BE20 0.93550847   90   Rarefaction       0 16.867927  0.0000000
## 453        BE20 0.94076516   99   Rarefaction       0 17.426260  0.0000000
## 454        BE20 0.94435685  107   Rarefaction       0 17.886973  0.0000000
## 455        BE20 0.94713630  115   Rarefaction       0 18.321914  0.0000000
## 456        BE20 0.94926245  123   Rarefaction       0 18.737001  0.0000000
## 457        BE20 0.95086636  131   Rarefaction       0 19.136982  0.0000000
## 458        BE20 0.95205760  139   Rarefaction       0 19.525644  0.0000000
## 459        BE20 0.95302013  148   Rarefaction       0 19.931441  0.0000000
## 460        BE20 0.95311065  149      Observed       0 20.000000  0.0000000
## 461        BE20 0.95320100  150 Extrapolation       0 20.046889  0.0000000
## 462        BE20 0.95382856  157 Extrapolation       0 20.372595  0.0000000
## 463        BE20 0.95453548  165 Extrapolation       0 20.739485  0.0000000
## 464        BE20 0.95523157  173 Extrapolation       0 21.100758  0.0000000
## 465        BE20 0.95591701  181 Extrapolation       0 21.456499  0.0000000
## 466        BE20 0.95650815  188 Extrapolation       0 21.763302  0.0000000
## 467        BE20 0.95717404  196 Extrapolation       0 22.108900  0.0000000
## 468        BE20 0.95782974  204 Extrapolation       0 22.449206  0.0000000
## 469        BE20 0.95847540  212 Extrapolation       0 22.784301  0.0000000
## 470        BE20 0.95911117  220 Extrapolation       0 23.114267  0.0000000
## 471        BE20 0.95965948  227 Extrapolation       0 23.398839  0.0000000
## 472        BE20 0.96027712  235 Extrapolation       0 23.719395  0.0000000
## 473        BE20 0.96088530  243 Extrapolation       0 24.035044  0.0000000
## 474        BE20 0.96148418  251 Extrapolation       0 24.345859  0.0000000
## 475        BE20 0.96207388  259 Extrapolation       0 24.651916  0.0000000
## 476        BE20 0.96258246  266 Extrapolation       0 24.915869  0.0000000
## 477        BE20 0.96315535  274 Extrapolation       0 25.213198  0.0000000
## 478        BE20 0.96371947  282 Extrapolation       0 25.505975  0.0000000
## 479        BE20 0.96427495  290 Extrapolation       0 25.794270  0.0000000
## 480        BE20 0.96482193  298 Extrapolation       0 26.078150  0.0000000
## 481        BE21 0.06068730    1   Rarefaction       0  1.000000  0.9451564
## 482        BE21 0.61740609   21   Rarefaction       0 13.115675 11.9741069
## 483        BE21 0.78513848   42   Rarefaction       0 19.201213 17.6331296
## 484        BE21 0.86027063   63   Rarefaction       0 22.873653 20.9727158
## 485        BE21 0.89945220   83   Rarefaction       0 25.261994 23.0806071
## 486        BE21 0.92460260  104   Rarefaction       0 27.101914 24.6213035
## 487        BE21 0.94107230  125   Rarefaction       0 28.509441 25.7060815
## 488        BE21 0.95207513  145   Rarefaction       0 29.577592 26.4465155
## 489        BE21 0.96053051  166   Rarefaction       0 30.494988 27.0037712
## 490        BE21 0.96685128  187   Rarefaction       0 31.257565 27.3554254
## 491        BE21 0.97147344  207   Rarefaction       0 31.874714 27.3572929
## 492        BE21 0.97525788  228   Rarefaction       0 32.434286 27.0838772
## 493        BE21 0.97822502  249   Rarefaction       0 32.922968 26.5120980
## 494        BE21 0.98047226  269   Rarefaction       0 33.336297 25.8922854
## 495        BE21 0.98235909  290   Rarefaction       0 33.726760 25.3661245
## 496        BE21 0.98385983  311   Rarefaction       0 34.081607 24.9466083
## 497        BE21 0.98499541  331   Rarefaction       0 34.393189 24.6522677
## 498        BE21 0.98592822  352   Rarefaction       0 34.698527 24.4519083
## 499        BE21 0.98663102  372   Rarefaction       0 34.979736 24.3822249
## 500        BE21 0.98665963  374      Observed       0 35.000000 24.3884064
## 501        BE21 0.98668818  375 Extrapolation       0 35.013340 24.3883664
## 502        BE21 0.98721918  394 Extrapolation       0 35.261452 24.3564668
## 503        BE21 0.98775527  414 Extrapolation       0 35.511937 24.3177939
## 504        BE21 0.98824370  433 Extrapolation       0 35.740160 24.2773782
## 505        BE21 0.98873682  453 Extrapolation       0 35.970566 24.2319248
## 506        BE21 0.98920924  473 Extrapolation       0 36.191308 24.1842221
## 507        BE21 0.98963968  492 Extrapolation       0 36.392431 24.1372148
## 508        BE21 0.99007424  512 Extrapolation       0 36.595478 24.0862156
## 509        BE21 0.99049057  532 Extrapolation       0 36.790008 24.0342018
## 510        BE21 0.99086990  551 Extrapolation       0 36.967249 23.9842695
## 511        BE21 0.99125286  571 Extrapolation       0 37.146186 23.9315315
## 512        BE21 0.99160178  590 Extrapolation       0 37.309219 23.8815470
## 513        BE21 0.99195403  610 Extrapolation       0 37.473812 23.8290858
## 514        BE21 0.99229152  630 Extrapolation       0 37.631501 23.7776975
## 515        BE21 0.99259901  649 Extrapolation       0 37.775175 23.7294102
## 516        BE21 0.99290944  669 Extrapolation       0 37.920223 23.6795181
## 517        BE21 0.99320685  689 Extrapolation       0 38.059188 23.6307196
## 518        BE21 0.99347782  708 Extrapolation       0 38.185802 23.5854812
## 519        BE21 0.99375139  728 Extrapolation       0 38.313627 23.5391478
## 520        BE21 0.99401349  748 Extrapolation       0 38.436091 23.4942480
## 521        BE22 0.11389760    1   Rarefaction       0  1.000000  0.8938604
## 522        BE22 0.63383206   13   Rarefaction       0  7.899470  6.6479058
## 523        BE22 0.78484421   26   Rarefaction       0 11.603773  9.8403624
## 524        BE22 0.85155042   39   Rarefaction       0 13.950398 11.8785908
## 525        BE22 0.88736372   52   Rarefaction       0 15.644976 13.3785171
## 526        BE22 0.90852845   64   Rarefaction       0 16.872635 14.4753486
## 527        BE22 0.92504806   77   Rarefaction       0 17.957382 15.4539663
## 528        BE22 0.93770177   90   Rarefaction       0 18.852568 16.2756084
## 529        BE22 0.94781145  103   Rarefaction       0 19.599491 16.9678803
## 530        BE22 0.95605909  116   Rarefaction       0 20.226704 17.5206096
## 531        BE22 0.96237501  128   Rarefaction       0 20.718152 17.7316402
## 532        BE22 0.96807363  141   Rarefaction       0 21.171920 17.3132127
## 533        BE22 0.97278365  154   Rarefaction       0 21.557731 16.7313634
## 534        BE22 0.97666412  167   Rarefaction       0 21.887441 16.1265412
## 535        BE22 0.97961802  179   Rarefaction       0 22.150670 15.6154906
## 536        BE22 0.98223039  192   Rarefaction       0 22.399347 15.1547401
## 537        BE22 0.98430687  205   Rarefaction       0 22.617351 14.8041339
## 538        BE22 0.98590600  218   Rarefaction       0 22.811278 14.5482146
## 539        BE22 0.98706897  231   Rarefaction       0 22.983640 14.3908520
## 540        BE22 0.98714318  232      Observed       0 23.000000 14.3864801
## 541        BE22 0.98721696  233 Extrapolation       0 23.012857 14.3790189
## 542        BE22 0.98807002  245 Extrapolation       0 23.161503 14.2853500
## 543        BE22 0.98886616  257 Extrapolation       0 23.300229 14.1941557
## 544        BE22 0.98960916  269 Extrapolation       0 23.429698 14.1061519
## 545        BE22 0.99030258  281 Extrapolation       0 23.550527 14.0216977
## 546        BE22 0.99094973  293 Extrapolation       0 23.663292 13.9410343
## 547        BE22 0.99155369  305 Extrapolation       0 23.768532 13.8636826
## 548        BE22 0.99216258  318 Extrapolation       0 23.874632 13.7855011
## 549        BE22 0.99268560  330 Extrapolation       0 23.965768 13.7166254
## 550        BE22 0.99317372  342 Extrapolation       0 24.050823 13.6514094
## 551        BE22 0.99362927  354 Extrapolation       0 24.130201 13.5897586
## 552        BE22 0.99405441  366 Extrapolation       0 24.204283 13.5315618
## 553        BE22 0.99445118  378 Extrapolation       0 24.273420 13.4766907
## 554        BE22 0.99485120  391 Extrapolation       0 24.343123 13.4208414
## 555        BE22 0.99519480  403 Extrapolation       0 24.402995 13.3724550
## 556        BE22 0.99551547  415 Extrapolation       0 24.458872 13.3269539
## 557        BE22 0.99581474  427 Extrapolation       0 24.511020 13.2841179
## 558        BE22 0.99609404  439 Extrapolation       0 24.559688 13.2440869
## 559        BE22 0.99635470  451 Extrapolation       0 24.605108 13.2064314
## 560        BE22 0.99661749  464 Extrapolation       0 24.650899 13.1682726
## 561        BE23 0.14398109    1   Rarefaction       0  1.000000  0.8692243
## 562        BE23 0.67438601   13   Rarefaction       0  7.303659  6.2757181
## 563        BE23 0.80211093   25   Rarefaction       0 10.396892  9.0114138
## 564        BE23 0.86004708   37   Rarefaction       0 12.413750 10.6815006
## 565        BE23 0.89180865   49   Rarefaction       0 13.902559 11.8828277
## 566        BE23 0.91378586   62   Rarefaction       0 15.168012 12.9224765
## 567        BE23 0.92844610   74   Rarefaction       0 16.118073 13.7291250
## 568        BE23 0.93994475   86   Rarefaction       0 16.910939 14.4069448
## 569        BE23 0.94924853   98   Rarefaction       0 17.578553 14.9201802
## 570        BE23 0.95743028  111   Rarefaction       0 18.187332 15.2465337
## 571        BE23 0.96355586  123   Rarefaction       0 18.663241 15.3384963
## 572        BE23 0.96853028  135   Rarefaction       0 19.072158 15.0591158
## 573        BE23 0.97251859  147   Rarefaction       0 19.426952 14.6851749
## 574        BE23 0.97565663  159   Rarefaction       0 19.738685 14.3369448
## 575        BE23 0.97822831  172   Rarefaction       0 20.038857 14.0655418
## 576        BE23 0.97993955  184   Rarefaction       0 20.290118 13.8993785
## 577        BE23 0.98109522  196   Rarefaction       0 20.523969 13.8434192
## 578        BE23 0.98175904  208   Rarefaction       0 20.746715 13.9006119
## 579        BE23 0.98198198  220   Rarefaction       0 20.968406 14.0682551
## 580        BE23 0.98203617  222      Observed       0 21.000000 14.0866525
## 581        BE23 0.98209020  223 Extrapolation       0 21.017964 14.0912687
## 582        BE23 0.98267387  234 Extrapolation       0 21.212036 14.1404623
## 583        BE23 0.98328894  246 Extrapolation       0 21.416544 14.1877914
## 584        BE23 0.98383354  257 Extrapolation       0 21.597627 14.2274559
## 585        BE23 0.98440744  269 Extrapolation       0 21.788447 14.2673039
## 586        BE23 0.98496096  281 Extrapolation       0 21.972493 14.3042314
## 587        BE23 0.98545108  292 Extrapolation       0 22.135458 14.3361695
## 588        BE23 0.98596756  304 Extrapolation       0 22.307185 14.3699679
## 589        BE23 0.98646570  316 Extrapolation       0 22.472817 14.4063899
## 590        BE23 0.98690678  327 Extrapolation       0 22.619476 14.4378983
## 591        BE23 0.98737157  339 Extrapolation       0 22.774021 14.4670407
## 592        BE23 0.98778313  350 Extrapolation       0 22.910864 14.4917942
## 593        BE23 0.98821682  362 Extrapolation       0 23.055065 14.5168833
## 594        BE23 0.98863511  374 Extrapolation       0 23.194148 14.5401905
## 595        BE23 0.98900549  385 Extrapolation       0 23.317299 14.5601722
## 596        BE23 0.98939579  397 Extrapolation       0 23.447072 14.5806588
## 597        BE23 0.98977223  409 Extrapolation       0 23.572239 14.5999986
## 598        BE23 0.99010555  420 Extrapolation       0 23.683068 14.6169409
## 599        BE23 0.99045679  432 Extrapolation       0 23.799857 14.6349689
## 600        BE23 0.99079557  444 Extrapolation       0 23.912500 14.6536059
## 601        BE24 0.32822193    1   Rarefaction       0  1.000001  0.9029603
## 602        BE24 0.76899938   18   Rarefaction       0  6.864984  5.7160079
## 603        BE24 0.85329053   35   Rarefaction       0 10.030666  8.5871357
## 604        BE24 0.89676414   52   Rarefaction       0 12.141488 10.5518571
## 605        BE24 0.92253699   69   Rarefaction       0 13.673474 12.0108231
## 606        BE24 0.94020765   87   Rarefaction       0 14.906928 13.1938217
## 607        BE24 0.95179681  104   Rarefaction       0 15.825389 14.0701537
## 608        BE24 0.96036233  121   Rarefaction       0 16.572932 14.7762942
## 609        BE24 0.96694561  138   Rarefaction       0 17.191822 15.3549304
## 610        BE24 0.97243795  156   Rarefaction       0 17.738221 15.8564703
## 611        BE24 0.97662723  173   Rarefaction       0 18.172099 16.2308831
## 612        BE24 0.98009597  190   Rarefaction       0 18.540800 16.4790528
## 613        BE24 0.98300766  207   Rarefaction       0 18.855179 16.5123399
## 614        BE24 0.98547700  224   Rarefaction       0 19.123735 16.4225858
## 615        BE24 0.98770162  242   Rarefaction       0 19.365698 16.2688478
## 616        BE24 0.98949886  259   Rarefaction       0 19.560013 16.0846269
## 617        BE24 0.99104790  276   Rarefaction       0 19.725817 15.9175764
## 618        BE24 0.99238278  293   Rarefaction       0 19.867040 15.7283777
## 619        BE24 0.99358974  310   Rarefaction       0 19.989164 15.5541015
## 620        BE24 0.99365099  312      Observed       0 20.000000 15.5502887
## 621        BE24 0.99371165  313 Extrapolation       0 20.006349 15.5413659
## 622        BE24 0.99460702  329 Extrapolation       0 20.100065 15.3981754
## 623        BE24 0.99537491  345 Extrapolation       0 20.180437 15.2660815
## 624        BE24 0.99607135  362 Extrapolation       0 20.253331 15.1397569
## 625        BE24 0.99663074  378 Extrapolation       0 20.311880 15.0344230
## 626        BE24 0.99711047  394 Extrapolation       0 20.362093 14.9420379
## 627        BE24 0.99754558  411 Extrapolation       0 20.407634 14.8564853
## 628        BE24 0.99789505  427 Extrapolation       0 20.444212 14.7866021
## 629        BE24 0.99819477  443 Extrapolation       0 20.475582 14.7258884
## 630        BE24 0.99846660  460 Extrapolation       0 20.504034 14.6702298
## 631        BE24 0.99868493  476 Extrapolation       0 20.526886 14.6251331
## 632        BE24 0.99888296  493 Extrapolation       0 20.547613 14.5839410
## 633        BE24 0.99904201  509 Extrapolation       0 20.564260 14.5506610
## 634        BE24 0.99917841  525 Extrapolation       0 20.578537 14.5219852
## 635        BE24 0.99930213  542 Extrapolation       0 20.591486 14.4958722
## 636        BE24 0.99940149  558 Extrapolation       0 20.601886 14.4748272
## 637        BE24 0.99948671  574 Extrapolation       0 20.610806 14.4567291
## 638        BE24 0.99956400  591 Extrapolation       0 20.618896 14.4402757
## 639        BE24 0.99962608  607 Extrapolation       0 20.625393 14.4270338
## 640        BE24 0.99968239  624 Extrapolation       0 20.631286 14.4150035
## 641        BE25 0.11156453    1   Rarefaction       0  1.000004  0.8648293
## 642        BE25 0.61809147   14   Rarefaction       0  8.523517  7.3463907
## 643        BE25 0.75669055   27   Rarefaction       0 12.536061 11.0920394
## 644        BE25 0.82406428   40   Rarefaction       0 15.249263 13.4821995
## 645        BE25 0.86210389   53   Rarefaction       0 17.287510 15.1962610
## 646        BE25 0.88616946   66   Rarefaction       0 18.925221 16.5522952
## 647        BE25 0.90276711   79   Rarefaction       0 20.299448 17.6918335
## 648        BE25 0.91496256   92   Rarefaction       0 21.486615 18.6790509
## 649        BE25 0.92436761  105   Rarefaction       0 22.533260 19.5516892
## 650        BE25 0.93191280  118   Rarefaction       0 23.469567 20.3349759
## 651        BE25 0.93817443  131   Rarefaction       0 24.315981 21.0376992
## 652        BE25 0.94352879  144   Rarefaction       0 25.086767 21.6532285
## 653        BE25 0.94823277  157   Rarefaction       0 25.792079 22.1680783
## 654        BE25 0.95246863  170   Rarefaction       0 26.439213 22.5383663
## 655        BE25 0.95636962  183   Rarefaction       0 27.033413 22.5074807
## 656        BE25 0.96003419  196   Rarefaction       0 27.578409 22.2075011
## 657        BE25 0.96353391  209   Rarefaction       0 28.076820 21.7817253
## 658        BE25 0.96691767  222   Rarefaction       0 28.530470 21.2765448
## 659        BE25 0.97046414  236   Rarefaction       0 28.967217 20.6711500
## 660        BE25 0.97071234  237      Observed       0 29.000000 20.6289472
## 661        BE25 0.97095845  238 Extrapolation       0 29.029288 20.5848121
## 662        BE25 0.97375538  250 Extrapolation       0 29.362122 20.0812322
## 663        BE25 0.97628294  262 Extrapolation       0 29.662902 19.6317269
## 664        BE25 0.97874718  275 Extrapolation       0 29.956147 19.1716686
## 665        BE25 0.98079400  287 Extrapolation       0 30.199717 18.7775953
## 666        BE25 0.98278953  300 Extrapolation       0 30.437187 18.3723321
## 667        BE25 0.98444704  312 Extrapolation       0 30.634429 18.0219165
## 668        BE25 0.98594491  324 Extrapolation       0 30.812676 17.6962990
## 669        BE25 0.98740526  337 Extrapolation       0 30.986458 17.3702298
## 670        BE25 0.98861823  349 Extrapolation       0 31.130801 17.0992561
## 671        BE25 0.98980081  362 Extrapolation       0 31.271529 16.8285117
## 672        BE25 0.99078308  374 Extrapolation       0 31.388418 16.6006087
## 673        BE25 0.99174073  387 Extrapolation       0 31.502379 16.3753795
## 674        BE25 0.99253616  399 Extrapolation       0 31.597035 16.1877055
## 675        BE25 0.99325499  411 Extrapolation       0 31.682576 16.0163937
## 676        BE25 0.99395581  424 Extrapolation       0 31.765973 15.8483497
## 677        BE25 0.99453791  436 Extrapolation       0 31.835243 15.7080533
## 678        BE25 0.99510543  449 Extrapolation       0 31.902778 15.5706910
## 679        BE25 0.99557682  461 Extrapolation       0 31.958873 15.4562069
## 680        BE25 0.99603639  474 Extrapolation       0 32.013563 15.3442838
## 681        BE26 0.17649032    1   Rarefaction       0  1.000011  0.8741001
## 682        BE26 0.71248632   17   Rarefaction       0  8.294866  6.9436678
## 683        BE26 0.82161090   34   Rarefaction       0 12.173888 10.3507065
## 684        BE26 0.87302787   51   Rarefaction       0 14.750612 12.6465710
## 685        BE26 0.90285857   68   Rarefaction       0 16.650579 14.3651489
## 686        BE26 0.92223509   85   Rarefaction       0 18.136340 15.7254523
## 687        BE26 0.93573896  102   Rarefaction       0 19.343969 16.8361954
## 688        BE26 0.94510913  118   Rarefaction       0 20.298432 17.7088325
## 689        BE26 0.95270880  135   Rarefaction       0 21.167954 18.4894723
## 690        BE26 0.95862308  152   Rarefaction       0 21.922608 19.1439153
## 691        BE26 0.96334193  169   Rarefaction       0 22.586843 19.6808588
## 692        BE26 0.96719787  186   Rarefaction       0 23.178151 19.9879718
## 693        BE26 0.97042646  203   Rarefaction       0 23.709207 19.7729860
## 694        BE26 0.97304684  219   Rarefaction       0 24.162274 19.3021265
## 695        BE26 0.97550935  236   Rarefaction       0 24.600382 18.6397344
## 696        BE26 0.97773520  253   Rarefaction       0 24.998639 17.9052061
## 697        BE26 0.97979580  270   Rarefaction       0 25.360463 17.1586935
## 698        BE26 0.98174177  287   Rarefaction       0 25.688233 16.4134985
## 699        BE26 0.98360656  303   Rarefaction       0 25.973329 15.6619934
## 700        BE26 0.98371370  305      Observed       0 26.000000 15.6296253
## 701        BE26 0.98382015  306 Extrapolation       0 26.016286 15.5869153
## 702        BE26 0.98543170  322 Extrapolation       0 26.262853 14.9298146
## 703        BE26 0.98688273  338 Extrapolation       0 26.484861 14.3244879
## 704        BE26 0.98818924  354 Extrapolation       0 26.684756 13.7726414
## 705        BE26 0.98936561  370 Extrapolation       0 26.864742 13.2661550
## 706        BE26 0.99042482  386 Extrapolation       0 27.026800 12.8043353
## 707        BE26 0.99137853  402 Extrapolation       0 27.172718 12.3846871
## 708        BE26 0.99223724  418 Extrapolation       0 27.304101 12.0044694
## 709        BE26 0.99301043  434 Extrapolation       0 27.422399 11.6610276
## 710        BE26 0.99370660  450 Extrapolation       0 27.528914 11.3514528
## 711        BE26 0.99433344  466 Extrapolation       0 27.624819 11.0714455
## 712        BE26 0.99489784  482 Extrapolation       0 27.711173 10.8181245
## 713        BE26 0.99540602  498 Extrapolation       0 27.788925 10.5891039
## 714        BE26 0.99586359  514 Extrapolation       0 27.858933 10.3821722
## 715        BE26 0.99627559  530 Extrapolation       0 27.921968 10.1952882
## 716        BE26 0.99664655  546 Extrapolation       0 27.978725 10.0265325
## 717        BE26 0.99698056  562 Extrapolation       0 28.029829  9.8743487
## 718        BE26 0.99728130  578 Extrapolation       0 28.075842  9.7370475
## 719        BE26 0.99755209  594 Extrapolation       0 28.117273  9.6132379
## 720        BE26 0.99779591  610 Extrapolation       0 28.154577  9.5016148
## 721        BE27 0.08308635    1   Rarefaction       0  1.000004  0.9049386
## 722        BE27 0.62880853   18   Rarefaction       0 10.875745  9.3391032
## 723        BE27 0.76764436   35   Rarefaction       0 15.893032 13.5026214
## 724        BE27 0.82946971   52   Rarefaction       0 19.289492 16.1326215
## 725        BE27 0.86321009   69   Rarefaction       0 21.893523 18.0507359
## 726        BE27 0.88522295   87   Rarefaction       0 24.154245 19.6690152
## 727        BE27 0.89941483  104   Rarefaction       0 25.985423 20.9748623
## 728        BE27 0.91002167  121   Rarefaction       0 27.606655 22.1472614
## 729        BE27 0.91842870  138   Rarefaction       0 29.066563 23.2258069
## 730        BE27 0.92575202  156   Rarefaction       0 30.470592 24.2832781
## 731        BE27 0.93160818  173   Rarefaction       0 31.684711 25.2024364
## 732        BE27 0.93667686  190   Rarefaction       0 32.805833 26.0301869
## 733        BE27 0.94110356  207   Rarefaction       0 33.846082 26.7289659
## 734        BE27 0.94498420  224   Rarefaction       0 34.815560 27.2542196
## 735        BE27 0.94857320  242   Rarefaction       0 35.774586 27.6549656
## 736        BE27 0.95152591  259   Rarefaction       0 36.624651 27.8921361
## 737        BE27 0.95409683  276   Rarefaction       0 37.427632 28.0704506
## 738        BE27 0.95632134  293   Rarefaction       0 38.189723 28.2557391
## 739        BE27 0.95833333  310   Rarefaction       0 38.917532 28.4585227
## 740        BE27 0.95843614  312      Observed       0 39.000000 28.5153223
## 741        BE27 0.95853869  313 Extrapolation       0 39.041564 28.5253542
## 742        BE27 0.96014551  329 Extrapolation       0 39.692809 28.7672215
## 743        BE27 0.96169006  345 Extrapolation       0 40.318816 29.0185741
## 744        BE27 0.96326561  362 Extrapolation       0 40.957387 29.2523551
## 745        BE27 0.96468925  378 Extrapolation       0 41.534385 29.4223551
## 746        BE27 0.96605771  394 Extrapolation       0 42.089022 29.5512041
## 747        BE27 0.96745363  411 Extrapolation       0 42.654791 29.6496683
## 748        BE27 0.96871496  427 Extrapolation       0 43.166006 29.7132126
## 749        BE27 0.96992740  443 Extrapolation       0 43.657410 29.7534085
## 750        BE27 0.97116418  460 Extrapolation       0 44.158677 29.7710051
## 751        BE27 0.97228171  476 Extrapolation       0 44.611610 29.7815639
## 752        BE27 0.97342166  493 Extrapolation       0 45.073633 29.7716693
## 753        BE27 0.97445170  509 Extrapolation       0 45.491107 29.7479450
## 754        BE27 0.97544182  525 Extrapolation       0 45.892402 29.7207126
## 755        BE27 0.97645181  542 Extrapolation       0 46.301752 29.6812269
## 756        BE27 0.97736441  558 Extrapolation       0 46.671630 29.6386926
## 757        BE27 0.97824165  574 Extrapolation       0 47.027174 29.5921448
## 758        BE27 0.97913649  591 Extrapolation       0 47.389854 29.5386692
## 759        BE27 0.97994505  607 Extrapolation       0 47.717564 29.4854649
## 760        BE27 0.98076984  624 Extrapolation       0 48.051851 29.4267137
## 761        BE28 0.07690575    1   Rarefaction       0  1.000000  0.9406420
## 762        BE28 0.59781719   15   Rarefaction       0  9.699110  8.6158330
## 763        BE28 0.76084622   30   Rarefaction       0 14.392766 12.9658966
## 764        BE28 0.83276122   45   Rarefaction       0 17.418907 15.6021834
## 765        BE28 0.87147042   59   Rarefaction       0 19.488163 17.2382656
## 766        BE28 0.89842546   74   Rarefaction       0 21.213805 18.4694912
## 767        BE28 0.91688642   89   Rarefaction       0 22.600171 19.3449446
## 768        BE28 0.93019342  104   Rarefaction       0 23.748697 19.9804584
## 769        BE28 0.93961588  118   Rarefaction       0 24.662034 20.4364331
## 770        BE28 0.94754955  133   Rarefaction       0 25.509952 20.8337891
## 771        BE28 0.95390878  148   Rarefaction       0 26.250541 21.1646742
## 772        BE28 0.95879774  162   Rarefaction       0 26.863021 21.4317379
## 773        BE28 0.96316970  177   Rarefaction       0 27.449457 21.6644380
## 774        BE28 0.96681914  192   Rarefaction       0 27.975553 21.8819559
## 775        BE28 0.96986874  207   Rarefaction       0 28.451233 22.0774494
## 776        BE28 0.97225314  221   Rarefaction       0 28.857092 22.1614700
## 777        BE28 0.97437953  236   Rarefaction       0 29.257897 22.2089024
## 778        BE28 0.97612038  251   Rarefaction       0 29.629572 22.2526821
## 779        BE28 0.97752809  265   Rarefaction       0 29.963526 22.3021178
## 780        BE28 0.97761225  267      Observed       0 30.000000 22.3214430
## 781        BE28 0.97769610  268 Extrapolation       0 30.022388 22.3273467
## 782        BE28 0.97883755  282 Extrapolation       0 30.327153 22.3922349
## 783        BE28 0.97992058  296 Extrapolation       0 30.616322 22.4504331
## 784        BE28 0.98094818  310 Extrapolation       0 30.890692 22.5116863
## 785        BE28 0.98192319  324 Extrapolation       0 31.151020 22.5821011
## 786        BE28 0.98284831  338 Extrapolation       0 31.398026 22.6394506
## 787        BE28 0.98372608  352 Extrapolation       0 31.632391 22.6850007
## 788        BE28 0.98455893  366 Extrapolation       0 31.854761 22.7224391
## 789        BE28 0.98534915  380 Extrapolation       0 32.065752 22.7570028
## 790        BE28 0.98609894  394 Extrapolation       0 32.265944 22.7844460
## 791        BE28 0.98681035  408 Extrapolation       0 32.455891 22.8041612
## 792        BE28 0.98748536  422 Extrapolation       0 32.636118 22.8174493
## 793        BE28 0.98812582  436 Extrapolation       0 32.807121 22.8254093
## 794        BE28 0.98873350  450 Extrapolation       0 32.969372 22.8284674
## 795        BE28 0.98931008  464 Extrapolation       0 33.123321 22.8289648
## 796        BE28 0.98985716  478 Extrapolation       0 33.269390 22.8261097
## 797        BE28 0.99037624  492 Extrapolation       0 33.407984 22.8209378
## 798        BE28 0.99086875  506 Extrapolation       0 33.539485 22.8139025
## 799        BE28 0.99133606  520 Extrapolation       0 33.664257 22.8053847
## 800        BE28 0.99177946  534 Extrapolation       0 33.782643 22.7957046
## 801        BE29 0.10471721    1   Rarefaction       0  1.000000  0.9071209
## 802        BE29 0.63849125   14   Rarefaction       0  8.453725  7.2697965
## 803        BE29 0.78373281   27   Rarefaction       0 12.155710 10.6714770
## 804        BE29 0.86120259   41   Rarefaction       0 14.623939 12.9288966
## 805        BE29 0.90181055   54   Rarefaction       0 16.162183 14.3395090
## 806        BE29 0.92664943   67   Rarefaction       0 17.277252 15.3748041
## 807        BE29 0.94368648   81   Rarefaction       0 18.184816 16.2297376
## 808        BE29 0.95436775   94   Rarefaction       0 18.848822 16.8606821
## 809        BE29 0.96261576  108   Rarefaction       0 19.431023 17.4140598
## 810        BE29 0.96837592  121   Rarefaction       0 19.880895 17.8381163
## 811        BE29 0.97292530  134   Rarefaction       0 20.263634 18.1893619
## 812        BE29 0.97688041  148   Rarefaction       0 20.616016 18.4904649
## 813        BE29 0.97991798  161   Rarefaction       0 20.897785 18.7032803
## 814        BE29 0.98268381  175   Rarefaction       0 21.160430 18.8614459
## 815        BE29 0.98489608  188   Rarefaction       0 21.371946 18.8944345
## 816        BE29 0.98684432  201   Rarefaction       0 21.556356 18.9147351
## 817        BE29 0.98870945  215   Rarefaction       0 21.728161 18.9179955
## 818        BE29 0.99026362  228   Rarefaction       0 21.865444 18.8653075
## 819        BE29 0.99176955  242   Rarefaction       0 21.988576 18.7890212
## 820        BE29 0.99187033  243      Observed       0 22.000000 18.7880186
## 821        BE29 0.99196988  244 Extrapolation       0 22.008130 18.7829322
## 822        BE29 0.99307350  256 Extrapolation       0 22.098259 18.7191474
## 823        BE29 0.99409861  269 Extrapolation       0 22.181976 18.6503788
## 824        BE29 0.99497200  282 Extrapolation       0 22.253303 18.5849220
## 825        BE29 0.99566303  294 Extrapolation       0 22.309737 18.5289295
## 826        BE29 0.99630489  307 Extrapolation       0 22.362156 18.4738174
## 827        BE29 0.99685176  320 Extrapolation       0 22.406817 18.4245824
## 828        BE29 0.99731769  333 Extrapolation       0 22.444868 18.3813602
## 829        BE29 0.99768634  345 Extrapolation       0 22.474974 18.3463542
## 830        BE29 0.99802876  358 Extrapolation       0 22.502938 18.3132285
## 831        BE29 0.99832050  371 Extrapolation       0 22.526764 18.2845153
## 832        BE29 0.99856906  384 Extrapolation       0 22.547063 18.2597107
## 833        BE29 0.99876572  396 Extrapolation       0 22.563124 18.2398631
## 834        BE29 0.99894839  409 Extrapolation       0 22.578042 18.2212531
## 835        BE29 0.99910403  422 Extrapolation       0 22.590752 18.2052621
## 836        BE29 0.99923663  435 Extrapolation       0 22.601581 18.1915414
## 837        BE29 0.99934154  447 Extrapolation       0 22.610149 18.1806224
## 838        BE29 0.99943899  460 Extrapolation       0 22.618108 18.1704298
## 839        BE29 0.99952202  473 Extrapolation       0 22.624888 18.1617070
## 840        BE29 0.99959276  486 Extrapolation       0 22.630665 18.1542484
## 841         BE3 0.04497226    1   Rarefaction       0  1.000000  0.9708240
## 842         BE3 0.48867636   17   Rarefaction       0 12.399452 11.1594768
## 843         BE3 0.67624361   33   Rarefaction       0 18.989246 17.2086744
## 844         BE3 0.77350764   49   Rarefaction       0 23.367749 21.1796841
## 845         BE3 0.83240496   65   Rarefaction       0 26.515116 24.0146127
## 846         BE3 0.87322655   82   Rarefaction       0 29.013963 26.2566733
## 847         BE3 0.89936903   98   Rarefaction       0 30.833873 27.8783020
## 848         BE3 0.91784320  114   Rarefaction       0 32.297182 29.1702254
## 849         BE3 0.93118731  130   Rarefaction       0 33.506063 30.2247474
## 850         BE3 0.94158892  147   Rarefaction       0 34.588195 31.1539500
## 851         BE3 0.94897040  163   Rarefaction       0 35.464881 31.8958747
## 852         BE3 0.95475163  179   Rarefaction       0 36.236231 32.5446752
## 853         BE3 0.95940849  195   Rarefaction       0 36.924029 33.1234562
## 854         BE3 0.96325862  211   Rarefaction       0 37.543707 33.6423625
## 855         BE3 0.96670337  228   Rarefaction       0 38.139947 34.1199589
## 856         BE3 0.96948973  244   Rarefaction       0 38.651286 34.4182542
## 857         BE3 0.97193655  260   Rarefaction       0 39.120701 34.3570399
## 858         BE3 0.97411467  276   Rarefaction       0 39.553061 34.1277526
## 859         BE3 0.97619048  292   Rarefaction       0 39.958056 33.8042178
## 860         BE3 0.97630600  294      Observed       0 40.000000 33.8033137
## 861         BE3 0.97642096  295 Extrapolation       0 40.023694 33.7845785
## 862         BE3 0.97807997  310 Extrapolation       0 40.365616 33.5001955
## 863         BE3 0.97962226  325 Extrapolation       0 40.683480 33.2350654
## 864         BE3 0.98114794  341 Extrapolation       0 40.997924 32.9754093
## 865         BE3 0.98247436  356 Extrapolation       0 41.271299 32.7126226
## 866         BE3 0.98378651  372 Extrapolation       0 41.541733 32.4290593
## 867         BE3 0.98492728  387 Extrapolation       0 41.776846 32.1640330
## 868         BE3 0.98598779  402 Extrapolation       0 41.995417 31.9053255
## 869         BE3 0.98703689  418 Extrapolation       0 42.211636 31.6407962
## 870         BE3 0.98794897  433 Extrapolation       0 42.399615 31.4022926
## 871         BE3 0.98885123  449 Extrapolation       0 42.585572 31.1590910
## 872         BE3 0.98963565  464 Extrapolation       0 42.747241 30.9423504
## 873         BE3 0.99041163  480 Extrapolation       0 42.907170 30.7235683
## 874         BE3 0.99108626  495 Extrapolation       0 43.046212 30.5301651
## 875         BE3 0.99171343  510 Extrapolation       0 43.175471 30.3479081
## 876         BE3 0.99233385  526 Extrapolation       0 43.303339 30.1654348
## 877         BE3 0.99287323  541 Extrapolation       0 43.414507 30.0051422
## 878         BE3 0.99340682  557 Extrapolation       0 43.524478 29.8451651
## 879         BE3 0.99387071  572 Extrapolation       0 43.620086 29.7050442
## 880         BE3 0.99432961  588 Extrapolation       0 43.714666 29.5655388
## 881        BE30 0.13675934    1   Rarefaction       0  1.000017  0.8927834
## 882        BE30 0.69084723   15   Rarefaction       0  8.070299  6.7340792
## 883        BE30 0.81206004   30   Rarefaction       0 11.723176  9.7947925
## 884        BE30 0.86776595   45   Rarefaction       0 14.106033 11.5823501
## 885        BE30 0.89591355   59   Rarefaction       0 15.756408 12.6803408
## 886        BE30 0.91348925   74   Rarefaction       0 17.183197 13.5433613
## 887        BE30 0.92418871   89   Rarefaction       0 18.399835 14.2538566
## 888        BE30 0.93076970  103   Rarefaction       0 19.415609 14.8633024
## 889        BE30 0.93575362  118   Rarefaction       0 20.417180 15.4818090
## 890        BE30 0.93949814  133   Rarefaction       0 21.353510 16.0346349
## 891        BE30 0.94233593  147   Rarefaction       0 22.181531 16.4301305
## 892        BE30 0.94495353  162   Rarefaction       0 23.027748 16.5971731
## 893        BE30 0.94729956  177   Rarefaction       0 23.836757 16.6132012
## 894        BE30 0.94932979  191   Rarefaction       0 24.561220 16.5674418
## 895        BE30 0.95138528  206   Rarefaction       0 25.306752 16.4715455
## 896        BE30 0.95334522  221   Rarefaction       0 26.022146 16.3379148
## 897        BE30 0.95510129  235   Rarefaction       0 26.663822 16.1527504
## 898        BE30 0.95691039  250   Rarefaction       0 27.324547 15.8839369
## 899        BE30 0.95864662  264   Rarefaction       0 27.935277 15.5225952
## 900        BE30 0.95875980  266      Observed       0 28.000000 15.5214614
## 901        BE30 0.95887267  267 Extrapolation       0 28.041240 15.4945047
## 902        BE30 0.96031218  280 Extrapolation       0 28.567203 15.1464503
## 903        BE30 0.96180613  294 Extrapolation       0 29.113055 14.7447115
## 904        BE30 0.96324385  308 Extrapolation       0 29.638360 14.3291495
## 905        BE30 0.96462744  322 Extrapolation       0 30.143891 13.9038699
## 906        BE30 0.96595896  336 Extrapolation       0 30.630393 13.4820093
## 907        BE30 0.96724035  350 Extrapolation       0 31.098582 13.0711118
## 908        BE30 0.96847351  364 Extrapolation       0 31.549146 12.6517488
## 909        BE30 0.96966024  378 Extrapolation       0 31.982751 12.2278823
## 910        BE30 0.97080231  392 Extrapolation       0 32.400033 11.8032844
## 911        BE30 0.97190138  406 Extrapolation       0 32.801608 11.3819941
## 912        BE30 0.97295909  420 Extrapolation       0 33.188066 10.9671779
## 913        BE30 0.97397698  434 Extrapolation       0 33.559977 10.5617860
## 914        BE30 0.97495655  448 Extrapolation       0 33.917889 10.1651109
## 915        BE30 0.97589925  462 Extrapolation       0 34.262327  9.7777306
## 916        BE30 0.97680646  476 Extrapolation       0 34.593801  9.4017886
## 917        BE30 0.97767953  490 Extrapolation       0 34.912796  9.0432315
## 918        BE30 0.97851973  504 Extrapolation       0 35.219784  8.6977666
## 919        BE30 0.97932830  518 Extrapolation       0 35.515216  8.3607860
## 920        BE30 0.98010643  532 Extrapolation       0 35.799528  8.0327233
## 921         BE4 0.06215005    1   Rarefaction       0  1.000000  0.9550804
## 922         BE4 0.67668576   23   Rarefaction       0 13.387599 11.9364281
## 923         BE4 0.83245343   46   Rarefaction       0 18.785703 16.7290261
## 924         BE4 0.89425700   69   Rarefaction       0 21.872317 19.4648931
## 925         BE4 0.92632697   92   Rarefaction       0 23.916708 21.2649121
## 926         BE4 0.94533766  115   Rarefaction       0 25.384883 22.4920407
## 927         BE4 0.95755552  138   Rarefaction       0 26.498154 23.3181223
## 928         BE4 0.96584106  161   Rarefaction       0 27.377437 23.8496311
## 929         BE4 0.97167392  184   Rarefaction       0 28.095194 24.1539716
## 930         BE4 0.97589497  207   Rarefaction       0 28.697752 24.2627488
## 931         BE4 0.97901707  230   Rarefaction       0 29.216085 23.9611869
## 932         BE4 0.98136906  253   Rarefaction       0 29.671586 23.2203576
## 933         BE4 0.98316847  276   Rarefaction       0 30.079406 22.5193842
## 934         BE4 0.98456145  299   Rarefaction       0 30.450540 21.9459594
## 935         BE4 0.98564665  322   Rarefaction       0 30.793173 21.5379086
## 936         BE4 0.98649055  345   Rarefaction       0 31.113604 21.2647805
## 937         BE4 0.98713778  368   Rarefaction       0 31.416859 21.1099944
## 938         BE4 0.98761825  391   Rarefaction       0 31.707107 21.0616192
## 939         BE4 0.98795181  413   Rarefaction       0 31.977116 21.0978936
## 940         BE4 0.98796344  415      Observed       0 32.000000 21.1125647
## 941         BE4 0.98797506  416 Extrapolation       0 32.012037 21.1170444
## 942         BE4 0.98821647  437 Extrapolation       0 32.262138 21.1986070
## 943         BE4 0.98846418  459 Extrapolation       0 32.518765 21.2812480
## 944         BE4 0.98870668  481 Extrapolation       0 32.769997 21.3612984
## 945         BE4 0.98894408  503 Extrapolation       0 33.015949 21.4389613
## 946         BE4 0.98916604  524 Extrapolation       0 33.245895 21.5110490
## 947         BE4 0.98939379  546 Extrapolation       0 33.481842 21.5846137
## 948         BE4 0.98961675  568 Extrapolation       0 33.712829 21.6563662
## 949         BE4 0.98983502  590 Extrapolation       0 33.938960 21.7264791
## 950         BE4 0.99004871  612 Extrapolation       0 34.160338 21.7950563
## 951         BE4 0.99024849  633 Extrapolation       0 34.367310 21.8590357
## 952         BE4 0.99045348  655 Extrapolation       0 34.579683 21.9242864
## 953         BE4 0.99065416  677 Extrapolation       0 34.787592 21.9875829
## 954         BE4 0.99085063  699 Extrapolation       0 34.991130 22.0490182
## 955         BE4 0.99104296  721 Extrapolation       0 35.190389 22.1086932
## 956         BE4 0.99122278  742 Extrapolation       0 35.376682 22.1641022
## 957         BE4 0.99140729  764 Extrapolation       0 35.567836 22.2206132
## 958         BE4 0.99158793  786 Extrapolation       0 35.754972 22.2756434
## 959         BE4 0.99176476  808 Extrapolation       0 35.938174 22.3292857
## 960         BE4 0.99193788  830 Extrapolation       0 36.117525 22.3816336
## 961         BE5 0.35176229    1   Rarefaction       0  1.000010  0.8090182
## 962         BE5 0.70561256   11   Rarefaction       0  4.931668  3.3509249
## 963         BE5 0.78940782   22   Rarefaction       0  7.721932  6.2346179
## 964         BE5 0.84680118   33   Rarefaction       0  9.731950  8.2193528
## 965         BE5 0.88639406   44   Rarefaction       0 11.206001  9.6060799
## 966         BE5 0.91396158   55   Rarefaction       0 12.308908 10.5871137
## 967         BE5 0.93336106   66   Rarefaction       0 13.152247 11.2930262
## 968         BE5 0.94715820   77   Rarefaction       0 13.812090 11.8112590
## 969         BE5 0.95706396   88   Rarefaction       0 14.340881 12.1930397
## 970         BE5 0.96423172   99   Rarefaction       0 14.775257 12.4567316
## 971         BE5 0.96945379  110   Rarefaction       0 15.141114 12.5242587
## 972         BE5 0.97328841  121   Rarefaction       0 15.456892 12.3199677
## 973         BE5 0.97613936  132   Rarefaction       0 15.735721 12.1610739
## 974         BE5 0.97830520  143   Rarefaction       0 15.986848 12.0477241
## 975         BE5 0.98000924  154   Rarefaction       0 16.216635 11.9783806
## 976         BE5 0.98141829  165   Rarefaction       0 16.429282 11.9276276
## 977         BE5 0.98265471  176   Rarefaction       0 16.627386 11.8952950
## 978         BE5 0.98380479  187   Rarefaction       0 16.812386 11.8672072
## 979         BE5 0.98492462  197   Rarefaction       0 16.974141 11.8284068
## 980         BE5 0.98502546  199      Observed       0 17.000000 11.8368268
## 981         BE5 0.98512563  200 Extrapolation       0 17.014975 11.8330280
## 982         BE5 0.98609115  210 Extrapolation       0 17.159320 11.7930987
## 983         BE5 0.98699399  220 Extrapolation       0 17.294296 11.7511302
## 984         BE5 0.98791959  231 Extrapolation       0 17.432672 11.7043804
## 985         BE5 0.98870375  241 Extrapolation       0 17.549904 11.6628365
## 986         BE5 0.98950766  252 Extrapolation       0 17.670089 11.6206001
## 987         BE5 0.99018874  262 Extrapolation       0 17.771910 11.5911857
## 988         BE5 0.99082560  272 Extrapolation       0 17.867121 11.5531306
## 989         BE5 0.99147851  283 Extrapolation       0 17.964731 11.5124069
## 990         BE5 0.99203166  293 Extrapolation       0 18.047426 11.4766493
## 991         BE5 0.99259874  304 Extrapolation       0 18.132205 11.4389023
## 992         BE5 0.99307917  314 Extrapolation       0 18.204029 11.4061597
## 993         BE5 0.99357170  325 Extrapolation       0 18.277662 11.3719945
## 994         BE5 0.99398897  335 Extrapolation       0 18.340044 11.3427315
## 995         BE5 0.99437916  345 Extrapolation       0 18.398377 11.3153644
## 996         BE5 0.99477917  356 Extrapolation       0 18.458180 11.2881030
## 997         BE5 0.99511806  366 Extrapolation       0 18.508844 11.2661819
## 998         BE5 0.99546549  377 Extrapolation       0 18.560785 11.2386589
## 999         BE5 0.99575984  387 Extrapolation       0 18.604789 11.2147416
## 1000        BE5 0.99606159  398 Extrapolation       0 18.649902 11.1899664
## 1001        BE6 0.16285967    1   Rarefaction       0  1.000012  0.7841834
## 1002        BE6 0.62516067   12   Rarefaction       0  6.975708  5.4243805
## 1003        BE6 0.74446801   23   Rarefaction       0 10.431181  8.5195545
## 1004        BE6 0.81486411   35   Rarefaction       0 13.070097 10.7254137
## 1005        BE6 0.85340244   46   Rarefaction       0 14.898257 12.1339577
## 1006        BE6 0.88068502   58   Rarefaction       0 16.496120 13.2755925
## 1007        BE6 0.89790083   69   Rarefaction       0 17.717361 14.0795470
## 1008        BE6 0.91153340   81   Rarefaction       0 18.863366 14.7698365
## 1009        BE6 0.92098748   92   Rarefaction       0 19.787110 15.2842571
## 1010        BE6 0.92910660  104   Rarefaction       0 20.688741 15.7548718
## 1011        BE6 0.93515474  115   Rarefaction       0 21.437317 16.1207598
## 1012        BE6 0.94024272  126   Rarefaction       0 22.124425 16.4279434
## 1013        BE6 0.94496635  138   Rarefaction       0 22.814778 16.6872396
## 1014        BE6 0.94869527  149   Rarefaction       0 23.401035 16.8350427
## 1015        BE6 0.95221972  161   Rarefaction       0 23.996785 16.8920815
## 1016        BE6 0.95501692  172   Rarefaction       0 24.508026 16.8986884
## 1017        BE6 0.95764300  184   Rarefaction       0 25.032957 16.9033552
## 1018        BE6 0.95968731  195   Rarefaction       0 25.488356 16.9161461
## 1019        BE6 0.96153846  207   Rarefaction       0 25.960598 16.9839848
## 1020        BE6 0.96167731  208      Observed       0 26.000000 16.9933090
## 1021        BE6 0.96181566  209 Extrapolation       0 26.038323 16.9976755
## 1022        BE6 0.96317198  219 Extrapolation       0 26.414022 17.0503885
## 1023        BE6 0.96460835  230 Extrapolation       0 26.811897 17.0934673
## 1024        BE6 0.96598870  241 Extrapolation       0 27.194253 17.1371141
## 1025        BE6 0.96731521  252 Extrapolation       0 27.561697 17.1920532
## 1026        BE6 0.96858998  263 Extrapolation       0 27.914810 17.2026804
## 1027        BE6 0.96981504  274 Extrapolation       0 28.254150 17.1931678
## 1028        BE6 0.97099232  285 Extrapolation       0 28.580256 17.1681773
## 1029        BE6 0.97212368  296 Extrapolation       0 28.893643 17.1305990
## 1030        BE6 0.97321091  307 Extrapolation       0 29.194807 17.0823529
## 1031        BE6 0.97416246  317 Extrapolation       0 29.458387 17.0312520
## 1032        BE6 0.97517018  328 Extrapolation       0 29.737525 16.9690714
## 1033        BE6 0.97613860  339 Extrapolation       0 30.005776 16.9011968
## 1034        BE6 0.97706924  350 Extrapolation       0 30.263565 16.8315089
## 1035        BE6 0.97796359  361 Extrapolation       0 30.511299 16.7569914
## 1036        BE6 0.97882306  372 Extrapolation       0 30.749371 16.6798689
## 1037        BE6 0.97964900  383 Extrapolation       0 30.978158 16.6009771
## 1038        BE6 0.98044273  394 Extrapolation       0 31.198021 16.5210036
## 1039        BE6 0.98120551  405 Extrapolation       0 31.409310 16.4405628
## 1040        BE6 0.98193853  416 Extrapolation       0 31.612358 16.3601868
## 1041        BE7 0.28952439    1   Rarefaction       0  1.000012  0.9101194
## 1042        BE7 0.83973677   30   Rarefaction       0  9.448939  8.3608371
## 1043        BE7 0.90966916   60   Rarefaction       0 13.036943 11.4933903
## 1044        BE7 0.93536280   90   Rarefaction       0 15.324703 13.3437188
## 1045        BE7 0.94870255  120   Rarefaction       0 17.052653 14.6930985
## 1046        BE7 0.95704294  150   Rarefaction       0 18.462130 15.7777057
## 1047        BE7 0.96277406  180   Rarefaction       0 19.662845 16.6975613
## 1048        BE7 0.96693917  210   Rarefaction       0 20.716161 17.4933106
## 1049        BE7 0.97010412  240   Rarefaction       0 21.660100 18.1879060
## 1050        BE7 0.97261278  270   Rarefaction       0 22.519277 18.8022898
## 1051        BE7 0.97461947  299   Rarefaction       0 23.284602 19.3316530
## 1052        BE7 0.97639921  329   Rarefaction       0 24.019588 19.8196433
## 1053        BE7 0.97796738  359   Rarefaction       0 24.704430 20.2576269
## 1054        BE7 0.97938288  389   Rarefaction       0 25.344558 20.6535357
## 1055        BE7 0.98068457  419   Rarefaction       0 25.943951 21.0061487
## 1056        BE7 0.98189892  449   Rarefaction       0 26.505614 21.3019549
## 1057        BE7 0.98304485  479   Rarefaction       0 27.031879 21.5494698
## 1058        BE7 0.98413657  509   Rarefaction       0 27.524583 21.7560038
## 1059        BE7 0.98518519  539   Rarefaction       0 27.984049 21.9213459
## 1060        BE7 0.98521946  540      Observed       0 28.000000 21.9253321
## 1061        BE7 0.98525366  541 Extrapolation       0 28.014781 21.9299010
## 1062        BE7 0.98617975  569 Extrapolation       0 28.415036 22.0487082
## 1063        BE7 0.98704768  597 Extrapolation       0 28.790155 22.1542156
## 1064        BE7 0.98788919  626 Extrapolation       0 29.153854 22.2523186
## 1065        BE7 0.98864976  654 Extrapolation       0 29.482575 22.3408020
## 1066        BE7 0.98936257  682 Extrapolation       0 29.790651 22.4242392
## 1067        BE7 0.99005368  711 Extrapolation       0 30.089348 22.5055995
## 1068        BE7 0.99067832  739 Extrapolation       0 30.359318 22.5990708
## 1069        BE7 0.99126373  767 Extrapolation       0 30.612334 22.7102690
## 1070        BE7 0.99183133  796 Extrapolation       0 30.857647 22.7937619
## 1071        BE7 0.99234433  824 Extrapolation       0 31.079367 22.8571583
## 1072        BE7 0.99284172  853 Extrapolation       0 31.294337 22.9079827
## 1073        BE7 0.99329126  881 Extrapolation       0 31.488633 22.9457267
## 1074        BE7 0.99371258  909 Extrapolation       0 31.670726 22.9743711
## 1075        BE7 0.99412107  938 Extrapolation       0 31.847276 22.9961379
## 1076        BE7 0.99449028  966 Extrapolation       0 32.006846 23.0108932
## 1077        BE7 0.99483629  994 Extrapolation       0 32.156394 23.0209122
## 1078        BE7 0.99517178 1023 Extrapolation       0 32.301391 23.0274128
## 1079        BE7 0.99547500 1051 Extrapolation       0 32.432442 23.0306838
## 1080        BE7 0.99576898 1080 Extrapolation       0 32.559503 23.0315915
## 1081        BE8 0.13857829    1   Rarefaction       0  1.000001  0.8437159
## 1082        BE8 0.60221071   13   Rarefaction       0  7.833930  6.5460893
## 1083        BE8 0.73498327   25   Rarefaction       0 11.798526 10.2258310
## 1084        BE8 0.81267269   37   Rarefaction       0 14.514180 12.7259292
## 1085        BE8 0.86197643   49   Rarefaction       0 16.470223 14.4929659
## 1086        BE8 0.89495371   61   Rarefaction       0 17.932719 15.7842245
## 1087        BE8 0.91789047   73   Rarefaction       0 19.059252 16.7544540
## 1088        BE8 0.93433021   85   Rarefaction       0 19.948933 17.4928429
## 1089        BE8 0.94640008   97   Rarefaction       0 20.667020 18.0518935
## 1090        BE8 0.95544358  109   Rarefaction       0 21.257979 18.4651580
## 1091        BE8 0.96234670  121   Rarefaction       0 21.752903 18.7527405
## 1092        BE8 0.96771483  133   Rarefaction       0 22.173932 18.9170869
## 1093        BE8 0.97197212  145   Rarefaction       0 22.537003 18.9833017
## 1094        BE8 0.97541998  157   Rarefaction       0 22.853691 18.8764013
## 1095        BE8 0.97827310  169   Rarefaction       0 23.132453 18.7569734
## 1096        BE8 0.98068353  181   Rarefaction       0 23.379539 18.6387657
## 1097        BE8 0.98275793  193   Rarefaction       0 23.599635 18.5296761
## 1098        BE8 0.98457089  205   Rarefaction       0 23.796339 18.4244284
## 1099        BE8 0.98630137  218   Rarefaction       0 23.982210 18.3172357
## 1100        BE8 0.98642590  219      Observed       0 24.000000 18.3160195
## 1101        BE8 0.98654930  220 Extrapolation       0 24.013574 18.3093117
## 1102        BE8 0.98783487  231 Extrapolation       0 24.154987 18.2330447
## 1103        BE8 0.98899757  242 Extrapolation       0 24.282883 18.1548312
## 1104        BE8 0.99013960  254 Extrapolation       0 24.408507 18.0705119
## 1105        BE8 0.99108202  265 Extrapolation       0 24.512173 17.9968542
## 1106        BE8 0.99200769  277 Extrapolation       0 24.613997 17.9206378
## 1107        BE8 0.99277157  288 Extrapolation       0 24.698023 17.8543487
## 1108        BE8 0.99352187  300 Extrapolation       0 24.780556 17.7863742
## 1109        BE8 0.99414102  311 Extrapolation       0 24.848663 17.7282087
## 1110        BE8 0.99474918  323 Extrapolation       0 24.915560 17.6692825
## 1111        BE8 0.99525103  334 Extrapolation       0 24.970764 17.6192520
## 1112        BE8 0.99574397  346 Extrapolation       0 25.024987 17.5691501
## 1113        BE8 0.99615074  357 Extrapolation       0 25.069732 17.5270768
## 1114        BE8 0.99655029  369 Extrapolation       0 25.113682 17.4851845
## 1115        BE8 0.99688000  380 Extrapolation       0 25.149951 17.4502027
## 1116        BE8 0.99720385  392 Extrapolation       0 25.185574 17.4154889
## 1117        BE8 0.99747110  403 Extrapolation       0 25.214971 17.3865847
## 1118        BE8 0.99773359  415 Extrapolation       0 25.243846 17.3579706
## 1119        BE8 0.99795021  426 Extrapolation       0 25.267673 17.3341940
## 1120        BE8 0.99816297  438 Extrapolation       0 25.291078 17.3106976
## 1121        BE9 0.06994467    1   Rarefaction       0  1.000000  0.9121871
## 1122        BE9 0.61280390   18   Rarefaction       0 11.347823  9.8365945
## 1123        BE9 0.77559174   35   Rarefaction       0 16.420867 14.1620062
## 1124        BE9 0.84858099   52   Rarefaction       0 19.580956 16.6960176
## 1125        BE9 0.88763739   69   Rarefaction       0 21.812286 18.3706629
## 1126        BE9 0.91132824   86   Rarefaction       0 23.518079 19.5755177
## 1127        BE9 0.92712485  103   Rarefaction       0 24.890987 20.4763259
## 1128        BE9 0.93838890  120   Rarefaction       0 26.034800 21.1304719
## 1129        BE9 0.94677883  137   Rarefaction       0 27.011773 21.5471517
## 1130        BE9 0.95352031  155   Rarefaction       0 27.909686 21.6995368
## 1131        BE9 0.95842169  172   Rarefaction       0 28.658911 21.5844512
## 1132        BE9 0.96225640  189   Rarefaction       0 29.333756 21.3326852
## 1133        BE9 0.96527460  206   Rarefaction       0 29.950244 21.0537520
## 1134        BE9 0.96766469  223   Rarefaction       0 30.520681 20.7777599
## 1135        BE9 0.96957087  240   Rarefaction       0 31.054533 20.5881130
## 1136        BE9 0.97110286  257   Rarefaction       0 31.559108 20.5293063
## 1137        BE9 0.97234201  274   Rarefaction       0 32.040079 20.5365521
## 1138        BE9 0.97334585  291   Rarefaction       0 32.501934 20.6071153
## 1139        BE9 0.97419355  309   Rarefaction       0 32.970210 20.7693021
## 1140        BE9 0.97423524  310      Observed       0 33.000000 20.7855440
## 1141        BE9 0.97427686  311 Extrapolation       0 33.025765 20.7963007
## 1142        BE9 0.97493376  327 Extrapolation       0 33.432386 20.9518956
## 1143        BE9 0.97557389  343 Extrapolation       0 33.828623 21.0952643
## 1144        BE9 0.97619766  359 Extrapolation       0 34.214741 21.2284401
## 1145        BE9 0.97684298  376 Extrapolation       0 34.614193 21.3614388
## 1146        BE9 0.97743435  392 Extrapolation       0 34.980249 21.4788397
## 1147        BE9 0.97801062  408 Extrapolation       0 35.336958 21.5983947
## 1148        BE9 0.97857217  424 Extrapolation       0 35.684557 21.7048519
## 1149        BE9 0.97915311  441 Extrapolation       0 36.044160 21.8091582
## 1150        BE9 0.97968548  457 Extrapolation       0 36.373700 21.9005287
## 1151        BE9 0.98020426  473 Extrapolation       0 36.694823 21.9870278
## 1152        BE9 0.98070979  489 Extrapolation       0 37.007746 22.0683123
## 1153        BE9 0.98123278  506 Extrapolation       0 37.331476 22.1562385
## 1154        BE9 0.98171204  522 Extrapolation       0 37.628140 22.2294719
## 1155        BE9 0.98217907  538 Extrapolation       0 37.917229 22.2969106
## 1156        BE9 0.98263416  554 Extrapolation       0 38.198935 22.3591588
## 1157        BE9 0.98310498  571 Extrapolation       0 38.490369 22.4202474
## 1158        BE9 0.98353643  587 Extrapolation       0 38.757439 22.4735760
## 1159        BE9 0.98395687  603 Extrapolation       0 39.017688 22.5228296
## 1160        BE9 0.98439182  620 Extrapolation       0 39.286925 22.5726575
##         qD.UCL
## 1     1.144104
## 2     6.054404
## 3     8.439307
## 4     9.945174
## 5    11.157348
## 6    12.138146
## 7    12.908272
## 8    13.615684
## 9    14.199618
## 10   14.768607
## 11   15.294174
## 12   15.755097
## 13   16.232970
## 14   16.688770
## 15   17.166857
## 16   17.636137
## 17   18.071414
## 18   18.522047
## 19   18.942900
## 20   18.984391
## 21   19.015944
## 22   19.398188
## 23   19.790938
## 24   20.168986
## 25   20.531035
## 26   20.871972
## 27   21.194310
## 28   21.497586
## 29   21.781863
## 30   22.047943
## 31   22.279672
## 32   22.513360
## 33   22.731286
## 34   22.934207
## 35   23.122901
## 36   23.298161
## 37   23.460782
## 38   23.611576
## 39   23.751302
## 40   23.880790
## 41    1.106374
## 42   13.354349
## 43   18.768761
## 44   22.311649
## 45   24.756575
## 46   26.695796
## 47   28.392413
## 48   29.818713
## 49   31.187894
## 50   32.494040
## 51   34.204095
## 52   36.244357
## 53   37.982960
## 54   39.510348
## 55   40.724691
## 56   41.741707
## 57   42.650330
## 58   43.413251
## 59   44.125224
## 60   44.165123
## 61   44.193539
## 62   44.820704
## 63   45.427727
## 64   46.014696
## 65   46.581623
## 66   47.152606
## 67   47.678699
## 68   48.187715
## 69   48.679699
## 70   49.154617
## 71   49.632511
## 72   50.070223
## 73   50.484848
## 74   50.894281
## 75   51.290850
## 76   51.692025
## 77   52.063239
## 78   52.422522
## 79   52.770164
## 80   53.121448
## 81    1.113520
## 82    8.606502
## 83   12.469229
## 84   14.761810
## 85   16.549212
## 86   17.773218
## 87   18.800357
## 88   19.546988
## 89   20.214637
## 90   20.724878
## 91   21.200120
## 92   21.594836
## 93   22.074861
## 94   22.612510
## 95   23.168346
## 96   23.642374
## 97   24.069242
## 98   24.456970
## 99   24.854483
## 100  24.887475
## 101  24.919678
## 102  25.221661
## 103  25.513773
## 104  25.767700
## 105  25.987604
## 106  26.177426
## 107  26.340828
## 108  26.481271
## 109  26.601848
## 110  26.705276
## 111  26.793934
## 112  26.869888
## 113  26.934928
## 114  26.990602
## 115  27.038244
## 116  27.079002
## 117  27.113863
## 118  27.143678
## 119  27.169167
## 120  27.190963
## 121   1.027054
## 122  13.912385
## 123  20.328799
## 124  24.734020
## 125  27.894272
## 126  30.493318
## 127  32.845978
## 128  34.815029
## 129  36.688868
## 130  38.314728
## 131  39.827826
## 132  41.330270
## 133  42.685112
## 134  44.061397
## 135  45.328798
## 136  46.575356
## 137  47.889751
## 138  49.113317
## 139  50.354309
## 140  50.437186
## 141  50.505044
## 142  51.615749
## 143  52.704640
## 144  53.834554
## 145  54.872366
## 146  55.934708
## 147  56.900797
## 148  57.882400
## 149  58.769384
## 150  59.666272
## 151  60.475125
## 152  61.291839
## 153  62.027179
## 154  62.769055
## 155  63.436008
## 156  64.107358
## 157  64.709682
## 158  65.315200
## 159  65.857776
## 160  66.402581
## 161   1.067829
## 162  14.810335
## 163  22.256113
## 164  27.201980
## 165  30.795622
## 166  33.938055
## 167  36.653618
## 168  38.949537
## 169  41.145946
## 170  43.180421
## 171  45.022910
## 172  46.940035
## 173  48.799389
## 174  50.440571
## 175  52.049565
## 176  53.541304
## 177  54.867195
## 178  56.182834
## 179  57.404924
## 180  57.487450
## 181  57.550032
## 182  58.604650
## 183  59.679790
## 184  60.780626
## 185  61.838417
## 186  62.954475
## 187  64.066608
## 188  65.108598
## 189  66.193438
## 190  67.255942
## 191  68.236955
## 192  69.241871
## 193  70.212770
## 194  71.099816
## 195  72.000357
## 196  72.864498
## 197  73.649580
## 198  74.443283
## 199  75.201741
## 200  75.925835
## 201   1.055210
## 202   9.359110
## 203  16.128953
## 204  20.760735
## 205  24.933256
## 206  28.338276
## 207  30.899132
## 208  33.387816
## 209  35.329094
## 210  37.274162
## 211  39.021058
## 212  40.452561
## 213  42.003654
## 214  43.586267
## 215  45.618093
## 216  47.671422
## 217  49.431558
## 218  51.279227
## 219  52.951996
## 220  53.164070
## 221  53.344250
## 222  54.746673
## 223  56.083755
## 224  57.364253
## 225  58.589400
## 226  59.901968
## 227  61.011324
## 228  62.067229
## 229  63.069253
## 230  64.012795
## 231  65.018241
## 232  65.866400
## 233  66.671993
## 234  67.437718
## 235  68.164811
## 236  68.939323
## 237  69.590942
## 238  70.212341
## 239  70.796390
## 240  71.420673
## 241   1.084103
## 242  11.284858
## 243  15.548243
## 244  18.192848
## 245  20.063193
## 246  21.543830
## 247  22.651622
## 248  23.564228
## 249  24.342801
## 250  25.061400
## 251  25.673065
## 252  26.226173
## 253  26.722286
## 254  27.162166
## 255  27.573057
## 256  27.928666
## 257  28.275297
## 258  28.580218
## 259  28.831369
## 260  28.849078
## 261  28.862688
## 262  29.100154
## 263  29.324627
## 264  29.534115
## 265  29.737001
## 266  29.914308
## 267  30.078615
## 268  30.230105
## 269  30.376489
## 270  30.502713
## 271  30.616571
## 272  30.719528
## 273  30.822668
## 274  30.911415
## 275  30.992128
## 276  31.065458
## 277  31.135528
## 278  31.195569
## 279  31.249984
## 280  31.301870
## 281   1.049943
## 282  10.561778
## 283  16.643452
## 284  20.340446
## 285  23.248262
## 286  25.270609
## 287  27.012256
## 288  28.312075
## 289  29.499463
## 290  30.430067
## 291  31.314741
## 292  32.037024
## 293  32.760424
## 294  33.439672
## 295  34.416245
## 296  35.326458
## 297  36.260093
## 298  37.065491
## 299  37.850366
## 300  37.910705
## 301  37.965914
## 302  38.383032
## 303  38.643424
## 304  38.785427
## 305  38.862479
## 306  38.904181
## 307  38.926720
## 308  38.938892
## 309  38.945465
## 310  38.949012
## 311  38.950927
## 312  38.951960
## 313  38.952517
## 314  38.952818
## 315  38.952980
## 316  38.953067
## 317  38.953115
## 318  38.953140
## 319  38.953154
## 320  38.953161
## 321   1.089344
## 322  13.809071
## 323  20.759328
## 324  26.063554
## 325  30.073592
## 326  33.628981
## 327  36.609965
## 328  39.440213
## 329  41.923970
## 330  44.383319
## 331  46.670445
## 332  49.033364
## 333  51.423000
## 334  53.527665
## 335  55.554945
## 336  57.328353
## 337  59.034106
## 338  60.541601
## 339  62.063746
## 340  62.177166
## 341  62.251417
## 342  63.660616
## 343  65.072835
## 344  66.556772
## 345  67.959958
## 346  69.416478
## 347  70.775888
## 348  72.105354
## 349  73.487736
## 350  74.781427
## 351  76.120165
## 352  77.367743
## 353  78.653251
## 354  79.846492
## 355  81.011155
## 356  82.205754
## 357  83.311284
## 358  84.443390
## 359  85.488907
## 360  86.560506
## 361   1.112787
## 362  13.191008
## 363  19.475181
## 364  23.825306
## 365  27.038194
## 366  29.496304
## 367  31.431903
## 368  32.995426
## 369  34.292171
## 370  35.401496
## 371  36.380923
## 372  37.262451
## 373  38.046757
## 374  38.741229
## 375  39.423622
## 376  40.256429
## 377  41.060516
## 378  41.750011
## 379  42.321775
## 380  42.355996
## 381  42.379911
## 382  42.820462
## 383  43.235426
## 384  43.624618
## 385  43.988680
## 386  44.328678
## 387  44.645749
## 388  44.941078
## 389  45.215885
## 390  45.471650
## 391  45.721372
## 392  45.940745
## 393  46.144280
## 394  46.333043
## 395  46.508051
## 396  46.670258
## 397  46.820563
## 398  46.959817
## 399  47.088953
## 400  47.214584
## 401   1.040985
## 402  14.194681
## 403  19.153567
## 404  22.180079
## 405  24.362706
## 406  26.065714
## 407  27.465631
## 408  28.658699
## 409  29.702636
## 410  30.636893
## 411  31.494180
## 412  32.304771
## 413  33.104367
## 414  34.042533
## 415  35.138478
## 416  36.274923
## 417  37.413102
## 418  38.571768
## 419  39.756904
## 420  39.818951
## 421  39.869334
## 422  40.947051
## 423  42.000401
## 424  42.972038
## 425  43.853789
## 426  44.620540
## 427  45.352986
## 428  46.017390
## 429  46.620336
## 430  47.166681
## 431  47.639889
## 432  48.085854
## 433  48.488650
## 434  48.852564
## 435  49.181126
## 436  49.465340
## 437  49.733946
## 438  49.976204
## 439  50.194351
## 440  50.390980
## 441   1.278754
## 442   6.775198
## 443   9.825122
## 444  12.266443
## 445  14.389818
## 446  16.429755
## 447  18.827910
## 448  21.483926
## 449  25.487905
## 450  29.628805
## 451  33.228583
## 452  36.157026
## 453  38.628250
## 454  40.432190
## 455  41.864077
## 456  43.047648
## 457  44.025430
## 458  44.838459
## 459  45.583795
## 460  45.682407
## 461  45.758894
## 462  46.302465
## 463  46.916129
## 464  47.521720
## 465  48.119216
## 466  48.635377
## 467  49.217634
## 468  49.791672
## 469  50.357366
## 470  50.914392
## 471  51.395480
## 472  51.933946
## 473  52.466538
## 474  52.991914
## 475  53.510099
## 476  53.957642
## 477  54.462436
## 478  54.960112
## 479  55.450696
## 480  55.934160
## 481   1.054844
## 482  14.257243
## 483  20.769297
## 484  24.774591
## 485  27.443380
## 486  29.582524
## 487  31.312800
## 488  32.708668
## 489  33.986204
## 490  35.159704
## 491  36.392136
## 492  37.784695
## 493  39.333837
## 494  40.780308
## 495  42.087396
## 496  43.216606
## 497  44.134110
## 498  44.945147
## 499  45.577247
## 500  45.611594
## 501  45.638314
## 502  46.166437
## 503  46.706080
## 504  47.202941
## 505  47.709207
## 506  48.198394
## 507  48.647647
## 508  49.104740
## 509  49.545815
## 510  49.950228
## 511  50.360840
## 512  50.736890
## 513  51.118537
## 514  51.485304
## 515  51.820939
## 516  52.160929
## 517  52.487657
## 518  52.786122
## 519  53.088106
## 520  53.377933
## 521   1.106140
## 522   9.151035
## 523  13.367183
## 524  16.022204
## 525  17.911435
## 526  19.269922
## 527  20.460798
## 528  21.429527
## 529  22.231102
## 530  22.932799
## 531  23.704663
## 532  25.030628
## 533  26.384098
## 534  27.648340
## 535  28.685849
## 536  29.643953
## 537  30.430568
## 538  31.074341
## 539  31.576427
## 540  31.613520
## 541  31.646695
## 542  32.037656
## 543  32.406303
## 544  32.753244
## 545  33.079356
## 546  33.385550
## 547  33.673382
## 548  33.963762
## 549  34.214911
## 550  34.450236
## 551  34.670644
## 552  34.877004
## 553  35.070150
## 554  35.265404
## 555  35.433535
## 556  35.590790
## 557  35.737921
## 558  35.875288
## 559  36.003784
## 560  36.133525
## 561   1.130776
## 562   8.331600
## 563  11.782369
## 564  14.145999
## 565  15.922290
## 566  17.413548
## 567  18.507020
## 568  19.414934
## 569  20.236925
## 570  21.128131
## 571  21.987986
## 572  23.085200
## 573  24.168728
## 574  25.140425
## 575  26.012172
## 576  26.680857
## 577  27.204519
## 578  27.592817
## 579  27.868557
## 580  27.913347
## 581  27.944659
## 582  28.283609
## 583  28.645297
## 584  28.967797
## 585  29.309590
## 586  29.640756
## 587  29.934745
## 588  30.244403
## 589  30.539244
## 590  30.801053
## 591  31.081002
## 592  31.329934
## 593  31.593248
## 594  31.848105
## 595  32.074425
## 596  32.313486
## 597  32.544479
## 598  32.749194
## 599  32.964744
## 600  33.171393
## 601   1.097042
## 602   8.013960
## 603  11.474197
## 604  13.731119
## 605  15.336126
## 606  16.620034
## 607  17.580624
## 608  18.369569
## 609  19.028713
## 610  19.619972
## 611  20.113315
## 612  20.602547
## 613  21.198017
## 614  21.824883
## 615  22.462549
## 616  23.035400
## 617  23.534057
## 618  24.005703
## 619  24.424226
## 620  24.449711
## 621  24.471332
## 622  24.801954
## 623  25.094792
## 624  25.366906
## 625  25.589338
## 626  25.782147
## 627  25.958782
## 628  26.101822
## 629  26.225276
## 630  26.337838
## 631  26.428639
## 632  26.511284
## 633  26.577859
## 634  26.635089
## 635  26.687100
## 636  26.728945
## 637  26.764883
## 638  26.797516
## 639  26.823753
## 640  26.847570
## 641   1.135179
## 642   9.700643
## 643  13.980082
## 644  17.016327
## 645  19.378758
## 646  21.298146
## 647  22.907063
## 648  24.294180
## 649  25.514832
## 650  26.604158
## 651  27.594262
## 652  28.520306
## 653  29.416081
## 654  30.340060
## 655  31.559345
## 656  32.949318
## 657  34.371914
## 658  35.784396
## 659  37.263283
## 660  37.371053
## 661  37.473763
## 662  38.643012
## 663  39.694076
## 664  40.740625
## 665  41.621840
## 666  42.502041
## 667  43.246942
## 668  43.929053
## 669  44.602685
## 670  45.162346
## 671  45.714546
## 672  46.176227
## 673  46.629379
## 674  47.006365
## 675  47.348758
## 676  47.683596
## 677  47.962433
## 678  48.234866
## 679  48.461539
## 680  48.682842
## 681   1.125922
## 682   9.646065
## 683  13.997070
## 684  16.854653
## 685  18.936008
## 686  20.547227
## 687  21.851742
## 688  22.888031
## 689  23.846435
## 690  24.701301
## 691  25.492827
## 692  26.368331
## 693  27.645429
## 694  29.022421
## 695  30.561030
## 696  32.092072
## 697  33.562232
## 698  34.962967
## 699  36.284665
## 700  36.370375
## 701  36.445657
## 702  37.595891
## 703  38.645234
## 704  39.596871
## 705  40.463329
## 706  41.249265
## 707  41.960748
## 708  42.603733
## 709  43.183770
## 710  43.706374
## 711  44.178193
## 712  44.604221
## 713  44.988746
## 714  45.335694
## 715  45.648648
## 716  45.930917
## 717  46.185309
## 718  46.414637
## 719  46.621308
## 720  46.807539
## 721   1.095070
## 722  12.412387
## 723  18.283442
## 724  22.446362
## 725  25.736310
## 726  28.639475
## 727  30.995983
## 728  33.066048
## 729  34.907320
## 730  36.657906
## 731  38.166986
## 732  39.581478
## 733  40.963198
## 734  42.376900
## 735  43.894206
## 736  45.357167
## 737  46.784813
## 738  48.123707
## 739  49.376540
## 740  49.484678
## 741  49.557774
## 742  50.618397
## 743  51.619058
## 744  52.662419
## 745  53.646415
## 746  54.626840
## 747  55.659913
## 748  56.618800
## 749  57.561412
## 750  58.546348
## 751  59.441655
## 752  60.375598
## 753  61.234270
## 754  62.064092
## 755  62.922276
## 756  63.704568
## 757  64.462204
## 758  65.241040
## 759  65.949663
## 760  66.676988
## 761   1.059358
## 762  10.782387
## 763  15.819636
## 764  19.235630
## 765  21.738060
## 766  23.958118
## 767  25.855396
## 768  27.516935
## 769  28.887634
## 770  30.186114
## 771  31.336409
## 772  32.294305
## 773  33.234477
## 774  34.069150
## 775  34.825017
## 776  35.552714
## 777  36.306891
## 778  37.006462
## 779  37.624935
## 780  37.678557
## 781  37.717429
## 782  38.262072
## 783  38.782211
## 784  39.269697
## 785  39.719939
## 786  40.156601
## 787  40.579780
## 788  40.987083
## 789  41.374500
## 790  41.747442
## 791  42.107622
## 792  42.454787
## 793  42.788832
## 794  43.110278
## 795  43.417676
## 796  43.712670
## 797  43.995030
## 798  44.265068
## 799  44.523129
## 800  44.769581
## 801   1.092879
## 802   9.637653
## 803  13.639944
## 804  16.318982
## 805  17.984857
## 806  19.179699
## 807  20.139894
## 808  20.836962
## 809  21.447987
## 810  21.923673
## 811  22.337907
## 812  22.741568
## 813  23.092289
## 814  23.459414
## 815  23.849457
## 816  24.197977
## 817  24.538326
## 818  24.865580
## 819  25.188130
## 820  25.211981
## 821  25.233327
## 822  25.477371
## 823  25.713574
## 824  25.921685
## 825  26.090545
## 826  26.250495
## 827  26.389052
## 828  26.508376
## 829  26.603594
## 830  26.692648
## 831  26.769012
## 832  26.834415
## 833  26.886384
## 834  26.934831
## 835  26.976242
## 836  27.011621
## 837  27.039676
## 838  27.065786
## 839  27.088070
## 840  27.107082
## 841   1.029176
## 842  13.639427
## 843  20.769818
## 844  25.555814
## 845  29.015618
## 846  31.771252
## 847  33.789444
## 848  35.424138
## 849  36.787378
## 850  38.022440
## 851  39.033888
## 852  39.927787
## 853  40.724601
## 854  41.445052
## 855  42.159934
## 856  42.884318
## 857  43.884363
## 858  44.978369
## 859  46.111893
## 860  46.196686
## 861  46.262809
## 862  47.231036
## 863  48.131895
## 864  49.020438
## 865  49.829976
## 866  50.654407
## 867  51.389660
## 868  52.085509
## 869  52.782476
## 870  53.396938
## 871  54.012052
## 872  54.552132
## 873  55.090773
## 874  55.562260
## 875  56.003034
## 876  56.441244
## 877  56.823871
## 878  57.203791
## 879  57.535129
## 880  57.863793
## 881   1.107250
## 882   9.406520
## 883  13.651560
## 884  16.629716
## 885  18.832475
## 886  20.823033
## 887  22.545813
## 888  23.967916
## 889  25.352551
## 890  26.672386
## 891  27.932931
## 892  29.458322
## 893  31.060312
## 894  32.554997
## 895  34.141959
## 896  35.706377
## 897  37.174894
## 898  38.765157
## 899  40.347959
## 900  40.478539
## 901  40.587976
## 902  41.987956
## 903  43.481399
## 904  44.947571
## 905  46.383913
## 906  47.778777
## 907  49.126051
## 908  50.446544
## 909  51.737619
## 910  52.996781
## 911  54.221221
## 912  55.408954
## 913  56.558168
## 914  57.670666
## 915  58.746924
## 916  59.785813
## 917  60.782361
## 918  61.741802
## 919  62.669647
## 920  63.566332
## 921   1.044920
## 922  14.838770
## 923  20.842381
## 924  24.279742
## 925  26.568504
## 926  28.277726
## 927  29.678186
## 928  30.905243
## 929  32.036416
## 930  33.132756
## 931  34.470984
## 932  36.122814
## 933  37.639428
## 934  38.955120
## 935  40.048437
## 936  40.962427
## 937  41.723723
## 938  42.352595
## 939  42.856338
## 940  42.887435
## 941  42.907029
## 942  43.325669
## 943  43.756282
## 944  44.178696
## 945  44.592936
## 946  44.980742
## 947  45.379071
## 948  45.769292
## 949  46.151442
## 950  46.525620
## 951  46.875585
## 952  47.235080
## 953  47.587601
## 954  47.933241
## 955  48.272085
## 956  48.589262
## 957  48.915059
## 958  49.234301
## 959  49.547063
## 960  49.853416
## 961   1.191002
## 962   6.512411
## 963   9.209247
## 964  11.244547
## 965  12.805922
## 966  14.030702
## 967  15.011468
## 968  15.812921
## 969  16.488723
## 970  17.093783
## 971  17.757968
## 972  18.593817
## 973  19.310368
## 974  19.925973
## 975  20.454890
## 976  20.930937
## 977  21.359478
## 978  21.757566
## 979  22.119875
## 980  22.163173
## 981  22.196921
## 982  22.525541
## 983  22.837461
## 984  23.160963
## 985  23.436971
## 986  23.719578
## 987  23.952634
## 988  24.181112
## 989  24.417056
## 990  24.618203
## 991  24.825507
## 992  25.001898
## 993  25.183330
## 994  25.337357
## 995  25.481390
## 996  25.628256
## 997  25.751506
## 998  25.882911
## 999  25.994837
## 1000 26.109837
## 1001  1.215841
## 1002  8.527035
## 1003 12.342807
## 1004 15.414780
## 1005 17.662556
## 1006 19.716647
## 1007 21.355175
## 1008 22.956896
## 1009 24.289964
## 1010 25.622610
## 1011 26.753875
## 1012 27.820907
## 1013 28.942317
## 1014 29.967028
## 1015 31.101489
## 1016 32.117364
## 1017 33.162559
## 1018 34.060567
## 1019 34.937210
## 1020 35.006691
## 1021 35.078970
## 1022 35.777656
## 1023 36.530326
## 1024 37.251392
## 1025 37.931341
## 1026 38.626939
## 1027 39.315133
## 1028 39.992335
## 1029 40.656687
## 1030 41.307261
## 1031 41.885523
## 1032 42.505979
## 1033 43.110355
## 1034 43.695620
## 1035 44.265606
## 1036 44.818873
## 1037 45.355339
## 1038 45.875039
## 1039 46.378057
## 1040 46.864529
## 1041  1.089904
## 1042 10.537041
## 1043 14.580495
## 1044 17.305688
## 1045 19.412207
## 1046 21.146554
## 1047 22.628129
## 1048 23.939012
## 1049 25.132294
## 1050 26.236263
## 1051 27.237550
## 1052 28.219532
## 1053 29.151232
## 1054 30.035580
## 1055 30.881753
## 1056 31.709273
## 1057 32.514288
## 1058 33.293163
## 1059 34.046753
## 1060 34.074668
## 1061 34.099660
## 1062 34.781364
## 1063 35.426094
## 1064 36.055390
## 1065 36.624347
## 1066 37.157062
## 1067 37.673097
## 1068 38.119566
## 1069 38.514399
## 1070 38.921533
## 1071 39.301576
## 1072 39.680692
## 1073 40.031539
## 1074 40.367080
## 1075 40.698414
## 1076 41.002798
## 1077 41.291877
## 1078 41.575369
## 1079 41.834200
## 1080 42.087415
## 1081  1.156286
## 1082  9.121771
## 1083 13.371220
## 1084 16.302430
## 1085 18.447480
## 1086 20.081213
## 1087 21.364050
## 1088 22.405024
## 1089 23.282147
## 1090 24.050800
## 1091 24.753066
## 1092 25.430776
## 1093 26.090705
## 1094 26.830980
## 1095 27.507933
## 1096 28.120312
## 1097 28.669594
## 1098 29.168250
## 1099 29.647183
## 1100 29.683981
## 1101 29.717836
## 1102 30.076928
## 1103 30.410935
## 1104 30.746502
## 1105 31.027492
## 1106 31.307356
## 1107 31.541698
## 1108 31.774738
## 1109 31.969118
## 1110 32.161838
## 1111 32.322276
## 1112 32.480824
## 1113 32.612388
## 1114 32.742180
## 1115 32.849698
## 1116 32.955659
## 1117 33.043358
## 1118 33.129721
## 1119 33.201153
## 1120 33.271457
## 1121  1.087813
## 1122 12.859052
## 1123 18.679728
## 1124 22.465895
## 1125 25.253908
## 1126 27.460640
## 1127 29.305649
## 1128 30.939127
## 1129 32.476394
## 1130 34.119836
## 1131 35.733372
## 1132 37.334826
## 1133 38.846736
## 1134 40.263602
## 1135 41.520953
## 1136 42.588909
## 1137 43.543606
## 1138 44.396752
## 1139 45.171118
## 1140 45.214456
## 1141 45.255229
## 1142 45.912876
## 1143 46.561981
## 1144 47.201041
## 1145 47.866947
## 1146 48.481659
## 1147 49.075521
## 1148 49.664263
## 1149 50.279163
## 1150 50.846871
## 1151 51.402619
## 1152 51.947180
## 1153 52.506713
## 1154 53.026809
## 1155 53.537547
## 1156 54.038711
## 1157 54.560491
## 1158 55.041302
## 1159 55.512547
## 1160 56.001193
# show asymptotic estimates
birds_inext$AsyEst
##    Assemblage         Diversity  Observed Estimator       s.e.       LCL
## 1        BE10  Species richness 15.000000 17.656604  5.9727785 15.000000
## 2        BE10 Shannon diversity  4.477834  4.637426  0.4018491  3.849816
## 3        BE10 Simpson diversity  2.522903  2.537541  0.2163823  2.113439
## 4        BE11  Species richness 32.000000 40.978723  9.4225970 32.000000
## 5        BE11 Shannon diversity 15.106089 15.873309  0.9927297 13.927594
## 6        BE11 Simpson diversity  8.586257  8.743437  0.8264708  7.123584
## 7        BE12  Species richness 21.000000 21.663477  3.3110693 21.000000
## 8        BE12 Shannon diversity 12.056420 12.708104  0.8552237 11.031896
## 9        BE12 Simpson diversity  8.084583  8.369657  0.8425939  6.718204
## 10       BE13  Species richness 42.000000 54.035178 16.9522167 42.000000
## 11       BE13 Shannon diversity 23.597320 25.773235  1.3133956 23.199027
## 12       BE13 Simpson diversity 17.905539 18.866212  1.0533460 16.801691
## 13       BE14  Species richness 46.000000 59.960674 19.6868050 46.000000
## 14       BE14 Shannon diversity 24.539775 26.883599  1.5466517 23.852217
## 15       BE14 Simpson diversity 16.693361 17.465451  1.3040549 14.909550
## 16       BE15  Species richness 41.000000 52.994540  8.7639059 41.000000
## 17       BE15 Shannon diversity 29.495851 35.477035  2.9091664 29.775173
## 18       BE15 Simpson diversity 23.275732 27.152993  3.0114685 21.250624
## 19       BE16  Species richness 25.000000 26.495690  5.6120339 25.000000
## 20       BE16 Shannon diversity 12.284503 12.775183  0.7636022 11.278551
## 21       BE16 Simpson diversity  7.426959  7.567114  0.6523755  6.288481
## 22       BE17  Species richness 31.000000 31.082935  4.3084176 31.000000
## 23       BE17 Shannon diversity 22.478066 24.240311  1.1556346 21.975309
## 24       BE17 Simpson diversity 17.691778 19.235398  1.2918774 16.703365
## 25       BE18  Species richness 47.000000 72.530811 26.9212776 47.000000
## 26       BE18 Shannon diversity 19.613692 21.717714  1.7712605 18.246107
## 27       BE18 Simpson diversity 10.576329 10.858120  1.0526892  8.794887
## 28       BE19  Species richness 37.000000 39.658937  5.4052577 37.000000
## 29       BE19 Shannon diversity 18.348002 19.482358  1.2917036 16.950665
## 30       BE19 Simpson diversity  9.926195 10.190623  1.0301056  8.171653
## 31        BE2  Species richness 32.000000 34.993088  8.5330234 32.000000
## 32        BE2 Shannon diversity 17.622988 18.391735  0.7650749 16.892216
## 33        BE2 Simpson diversity 13.375657 13.769197  0.7905603 12.219727
## 34       BE20  Species richness 20.000000 44.335570 15.8337500 20.000000
## 35       BE20 Shannon diversity  7.779758  8.839153  1.1455257  6.593964
## 36       BE20 Simpson diversity  3.955282  4.035871  0.5743370  2.910191
## 37       BE21  Species richness 35.000000 41.233289  8.7472063 35.000000
## 38       BE21 Shannon diversity 21.832030 23.108387  1.3502151 20.462014
## 39       BE21 Simpson diversity 15.823077 16.477912  1.3716108 13.789604
## 40       BE22  Species richness 23.000000 25.240302  6.3244330 23.000000
## 41       BE22 Shannon diversity 12.812872 13.553146  0.9654255 11.660947
## 42       BE22 Simpson diversity  8.494949  8.779817  0.8726075  7.069537
## 43       BE23  Species richness 21.000000 26.972973  9.0364179 21.000000
## 44       BE23 Shannon diversity 10.713187 11.393252  0.8928223  9.643352
## 45       BE23 Simpson diversity  6.764205  6.945357  0.7801896  5.416213
## 46       BE24  Species richness 20.000000 20.664530  2.8066829 20.000000
## 47       BE24 Shannon diversity  6.195198  6.407189  0.5521011  5.325091
## 48       BE24 Simpson diversity  3.026866  3.046722  0.2874356  2.483359
## 49       BE25  Species richness 29.000000 32.485232 12.3301168 29.000000
## 50       BE25 Shannon diversity 14.251109 15.343542  1.1462180 13.096996
## 51       BE25 Simpson diversity  8.672070  8.963462  1.0611400  6.883665
## 52       BE26  Species richness 26.000000 28.491803  7.0534993 26.000000
## 53       BE26 Shannon diversity 10.380759 10.906455  0.7696606  9.397948
## 54       BE26 Simpson diversity  5.580719  5.666096  0.5874748  4.514667
## 55       BE27  Species richness 39.000000 55.845833 14.0975768 39.000000
## 56       BE27 Shannon diversity 18.343938 20.174817  1.2951872 17.636296
## 57       BE27 Simpson diversity 11.624552 12.035723  1.0714078  9.935802
## 58       BE28  Species richness 30.000000 35.977528  6.8940210 30.000000
## 59       BE28 Shannon diversity 17.374372 18.650980  0.9820782 16.726142
## 60       BE28 Simpson diversity 12.443533 13.002929  0.9541252 11.132878
## 61       BE29  Species richness 22.000000 22.663923  3.2329924 22.000000
## 62       BE29 Shannon diversity 13.352550 13.998786  0.9548586 12.127297
## 63       BE29 Simpson diversity  9.224965  9.549529  0.9944520  7.600439
## 64        BE3  Species richness 40.000000 44.883333  6.3053447 40.000000
## 65        BE3 Shannon diversity 27.001927 29.282369  1.5251388 26.293152
## 66        BE3 Simpson diversity 20.738004 22.235932  1.5519150 19.194234
## 67       BE30  Species richness 28.000000 43.068139 19.8745395 28.000000
## 68       BE30 Shannon diversity 11.649885 12.687302  0.9817461 10.763115
## 69       BE30 Simpson diversity  7.142742  7.312241  0.6560631  6.026381
## 70        BE4  Species richness 32.000000 44.469880 13.4803777 32.000000
## 71        BE4 Shannon diversity 20.152640 21.220586  0.9926136 19.275100
## 72        BE4 Simpson diversity 15.525557 16.090092  0.8286086 14.466049
## 73        BE5  Species richness 17.000000 19.238693  4.4735103 17.000000
## 74        BE5 Shannon diversity  5.737908  6.031244  0.7301509  4.600174
## 75        BE5 Simpson diversity  2.816772  2.842857  0.3448633  2.166937
## 76        BE6  Species richness 26.000000 36.615385 11.6649644 26.000000
## 77        BE6 Shannon diversity 11.169507 12.249531  1.0940580 10.105217
## 78        BE6 Simpson diversity  5.992244  6.140331  0.7250454  4.719268
## 79        BE7  Species richness 28.000000 34.388148 12.4257665 28.000000
## 80        BE7 Shannon diversity  7.029619  7.275117  0.5409092  6.214954
## 81        BE7 Simpson diversity  3.438355  3.453980  0.2747168  2.915545
## 82        BE8  Species richness 24.000000 25.493151  4.8554392 24.000000
## 83        BE8 Shannon diversity 12.662098 13.446817  1.1478530 11.197066
## 84        BE8 Simpson diversity  7.016971  7.216143  0.9475283  5.359021
## 85        BE9  Species richness 33.000000 48.948387 15.8311813 33.000000
## 86        BE9 Shannon diversity 19.238117 20.809633  1.2399333 18.379409
## 87        BE9 Simpson diversity 13.708987 14.297015  1.2138257 11.917960
##           UCL
## 1   29.363035
## 2    5.425036
## 3    2.961642
## 4   59.446674
## 5   17.819023
## 6   10.363289
## 7   28.153053
## 8   14.384311
## 9   10.021111
## 10  87.260912
## 11  28.347443
## 12  20.930732
## 13  98.546103
## 14  29.914980
## 15  20.021351
## 16  70.171480
## 17  41.178896
## 18  33.055363
## 19  37.495074
## 20  14.271816
## 21   8.845746
## 22  39.527278
## 23  26.505314
## 24  21.767431
## 25 125.295545
## 26  25.189320
## 27  12.921353
## 28  50.253048
## 29  22.014050
## 30  12.209593
## 31  51.717506
## 32  19.891254
## 33  15.318667
## 34  75.369150
## 35  11.084342
## 36   5.161551
## 37  58.377498
## 38  25.754760
## 39  19.166219
## 40  37.635963
## 41  15.445346
## 42  10.490096
## 43  44.684027
## 44  13.143152
## 45   8.474500
## 46  26.165527
## 47   7.489288
## 48   3.610085
## 49  56.651817
## 50  17.590088
## 51  11.043258
## 52  42.316408
## 53  12.414962
## 54   6.817526
## 55  83.476576
## 56  22.713337
## 57  14.135644
## 58  49.489561
## 59  20.575818
## 60  14.872980
## 61  29.000472
## 62  15.870274
## 63  11.498619
## 64  57.241582
## 65  32.271587
## 66  25.277629
## 67  82.021521
## 68  14.611489
## 69   8.598101
## 70  70.890934
## 71  23.166073
## 72  17.714135
## 73  28.006613
## 74   7.462313
## 75   3.518777
## 76  59.478295
## 77  14.393845
## 78   7.561394
## 79  58.742203
## 80   8.335279
## 81   3.992415
## 82  35.009637
## 83  15.696567
## 84   9.073264
## 85  79.976932
## 86  23.239858
## 87  16.676070
### a little workaround to create 29 colours and dot types ####
library(scico)
library(paletteer)
paletteer::paletteer_c("scico::berlin", 29)
## <colors>
## #9EB0FFFF #89ADF4FF #73A9EAFF #5CA4DCFF #4799C9FF #3889B2FF #2F789CFF #286886FF #225771FF #1C475CFF #153748FF #122935FF #0F1C24FF #111216FF #180B09FF #220C01FF #2C0E00FF #381000FF #461300FF #561A05FF #68240FFF #7B321CFF #8E422EFF #A05342FF #B36556FF #C5766BFF #D88881FF #EB9A96FF #FFACACFF
my_palette_inext <- paletteer::paletteer_c("scico::berlin", 29)
# Species accumulation curves
ggiNEXT(birds_inext, type=1, facet.var="None") + # not all plots sampled equally
scale_color_manual(values = my_palette_inext) +
  scale_fill_manual(values = my_palette_inext) +
  scale_shape_manual(values = seq(1:29))

# get minimum number of individuals from data 
min_abund <- min(birds_inext$DataInfo$n)
bird_data2 <- as.data.frame(bird_data)
str(bird_data2)
## 'data.frame':    70 obs. of  29 variables:
##  $ BE10: int  0 0 0 0 0 0 0 15 0 0 ...
##  $ BE11: int  0 0 0 0 1 0 0 21 0 0 ...
##  $ BE12: int  0 0 0 0 0 0 0 4 0 0 ...
##  $ BE13: int  0 3 0 4 2 0 0 0 1 0 ...
##  $ BE14: int  0 0 0 0 2 2 11 0 1 1 ...
##  $ BE15: int  0 2 5 5 0 9 1 0 0 1 ...
##  $ BE16: int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE17: int  0 0 3 0 0 21 0 0 0 3 ...
##  $ BE18: int  1 0 4 0 2 1 0 3 0 1 ...
##  $ BE19: int  0 0 0 2 0 0 0 12 0 0 ...
##  $ BE2 : int  2 0 0 0 1 0 0 0 0 0 ...
##  $ BE20: int  0 0 0 0 0 0 0 4 0 0 ...
##  $ BE21: int  1 0 0 1 2 0 0 3 0 0 ...
##  $ BE22: int  0 0 0 0 1 0 0 5 0 0 ...
##  $ BE23: int  0 0 0 0 0 0 0 5 0 0 ...
##  $ BE24: int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE25: int  0 0 0 0 3 0 0 12 0 0 ...
##  $ BE26: int  0 0 0 0 1 0 0 0 0 0 ...
##  $ BE27: int  0 0 0 0 1 0 0 19 0 3 ...
##  $ BE28: int  0 0 0 1 0 0 0 0 1 0 ...
##  $ BE29: int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE3 : int  0 2 0 0 0 0 1 0 0 0 ...
##  $ BE30: int  0 0 0 0 1 1 0 0 0 0 ...
##  $ BE4 : int  0 0 0 0 4 0 0 0 0 0 ...
##  $ BE5 : int  0 0 0 0 0 0 0 5 0 0 ...
##  $ BE6 : int  0 0 0 0 0 0 0 2 0 0 ...
##  $ BE7 : int  0 0 0 0 0 0 0 37 0 0 ...
##  $ BE8 : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE9 : int  0 0 0 3 0 0 0 0 0 0 ...
# use 2x minimum number of individuals for rarefaction/extrapolation
birds_estINEXTsize <- estimateD(bird_data, q = 0, datatype = "abundance", base = "size", level = (min_abund * 2),
          conf = 0.95)

birds_estINEXTsize
##    Assemblage   m        Method Order.q        SC       qD   qD.LCL   qD.UCL
## 1        BE10 298 Extrapolation       0 0.9875504 15.45303 12.24537 18.66069
## 2        BE11 298   Rarefaction       0 0.9812052 29.99164 26.82553 33.15774
## 3        BE12 298 Extrapolation       0 0.9973627 21.47799 18.48332 24.47265
## 4        BE13 298   Rarefaction       0 0.9563662 40.55495 36.22194 44.88797
## 5        BE14 298   Rarefaction       0 0.9539804 43.52956 38.57709 48.48202
## 6        BE15 298 Extrapolation       0 0.9688270 48.44774 39.99897 56.89652
## 7        BE16 298   Rarefaction       0 0.9888200 24.50655 22.28201 26.73109
## 8        BE17 298 Extrapolation       0 0.9999693 31.08237 28.41763 33.74712
## 9        BE18 298   Rarefaction       0 0.9498872 43.66224 38.73513 48.58935
## 10       BE19 298   Rarefaction       0 0.9846972 36.37941 33.64682 39.11199
## 11        BE2 298   Rarefaction       0 0.9765820 29.49552 27.07471 31.91633
## 12       BE20 298 Extrapolation       0 0.9648219 26.07815 18.21689 33.93941
## 13       BE21 298   Rarefaction       0 0.9829719 33.86571 31.21205 36.51936
## 14       BE22 298 Extrapolation       0 0.9912065 23.70803 20.20002 27.21604
## 15       BE23 298 Extrapolation       0 0.9857117 22.22210 18.49681 25.94738
## 16       BE24 298   Rarefaction       0 0.9927384 19.90441 17.70512 22.10370
## 17       BE25 298 Extrapolation       0 0.9824966 30.40233 26.39595 34.40870
## 18       BE26 298   Rarefaction       0 0.9829562 25.88297 23.04710 28.71884
## 19       BE27 298   Rarefaction       0 0.9569143 38.40692 31.92100 44.89284
## 20       BE28 298 Extrapolation       0 0.9800707 30.65641 27.77212 33.54069
## 21       BE29 298 Extrapolation       0 0.9958716 22.32677 19.72877 24.92477
## 22        BE3 298 Extrapolation       0 0.9767625 40.09409 36.10761 44.08056
## 23       BE30 298 Extrapolation       0 0.9622226 29.26520 23.27189 35.25852
## 24        BE4 298   Rarefaction       0 0.9845079 30.43505 27.86575 33.00435
## 25        BE5 298 Extrapolation       0 0.9922946 18.08674 14.10111 22.07237
## 26        BE6 298 Extrapolation       0 0.9723246 28.94929 23.14146 34.75713
## 27        BE7 298   Rarefaction       0 0.9745556 23.25916 20.66109 25.85722
## 28        BE8 298 Extrapolation       0 0.9934025 24.76742 20.83857 28.69627
## 29        BE9 298   Rarefaction       0 0.9737002 32.68743 28.18203 37.19283
# extract species richness 
birds_est_sprich <- as.data.frame(cbind(site = colnames(bird_data),
                                        sp_rich = birds_estINEXTsize$qD))

birds_est_sprich
##    site          sp_rich
## 1  BE10 15.4530328501637
## 2  BE11 29.9916380379789
## 3  BE12 21.4779853454816
## 4  BE13 40.5549538797391
## 5  BE14 43.5295555469924
## 6  BE15 48.4477427535246
## 7  BE16 24.5065491505327
## 8  BE17 31.0823712907411
## 9  BE18 43.6622413155036
## 10 BE19 36.3794068650737
## 11  BE2 29.4955218592629
## 12 BE20 26.0781501489565
## 13 BE21 33.8657074731005
## 14 BE22 23.7080269811234
## 15 BE23 22.2220973005055
## 16 BE24 19.9044088258824
## 17 BE25 30.4023268778697
## 18 BE26 25.8829734412778
## 19 BE27 38.4069200309924
## 20 BE28 30.6564055680879
## 21 BE29 22.3267691780308
## 22  BE3 40.0940884455696
## 23 BE30 29.2652048160577
## 24  BE4 30.4350475265505
## 25  BE5 18.0867385837243
## 26  BE6  28.949294781448
## 27  BE7 23.2591575105719
## 28  BE8 24.7674210668556
## 29  BE9 32.6874308792799

Statistics!!

Question: Does urbanization have an effect on bird diversity?

We are going to run a model with the number of species as response and urbanization variables as explanatory variables.

Load environmental data

env_cov <- read.csv(here("data","data_berlin","animal_data",
                         "birds_transects_allenvir_100m.csv") )
head(env_cov)
##   site                                 patch.lu   patch.area    pop_100m
## 1 BE10                      park and green area    4762.0000 240.2320426
## 2 BE11                      park and green area   22107.5781  41.9517209
## 3 BE12                      park and green area     623.8551  64.4663933
## 4 BE13                      park and green area  700876.6900   0.2617629
## 5 BE14 brownfield with meadow, shrubs and trees 1119275.5140   0.1640317
## 6 BE15                                 farmland  754802.5036   0.2794827
##   distance_water impervious_surface    light    noise  open_green temp_cooldown
## 1      887.99534       85.708155200 254.0484 52.66811 0.003755813    -0.4034781
## 2      182.70408       48.086350720 253.5432 61.36624 0.147960262    -0.5058560
## 3      846.25954       56.269183550 253.5924 53.33908 0.116351677    -0.4798068
## 4       89.61534        0.003294742  97.9062 22.78204 0.062367094    -0.7988746
## 5      849.76658        7.314871159 248.0444 35.69318 0.517760575    -0.6104055
## 6     1114.94496        3.692755106 238.8065 62.04909 0.692938283    -0.8771918
##   temp_day temp_night tree_cover
## 1 21.85441   13.61666   6.983366
## 2 21.74545   13.03693  22.487329
## 3 21.33945   12.66102  19.374208
## 4 28.82046   16.64645  70.116086
## 5 21.35707   10.84691  36.390875
## 6 30.88368   14.75161  19.789344
str(env_cov)
## 'data.frame':    29 obs. of  13 variables:
##  $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
##  $ patch.lu          : chr  "park and green area" "park and green area" "park and green area" "park and green area" ...
##  $ patch.area        : num  4762 22108 624 700877 1119276 ...
##  $ pop_100m          : num  240.232 41.952 64.466 0.262 0.164 ...
##  $ distance_water    : num  888 182.7 846.3 89.6 849.8 ...
##  $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
##  $ light             : num  254 253.5 253.6 97.9 248 ...
##  $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...
##  $ open_green        : num  0.00376 0.14796 0.11635 0.06237 0.51776 ...
##  $ temp_cooldown     : num  -0.403 -0.506 -0.48 -0.799 -0.61 ...
##  $ temp_day          : num  21.9 21.7 21.3 28.8 21.4 ...
##  $ temp_night        : num  13.6 13 12.7 16.6 10.8 ...
##  $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
summary(env_cov)
##      site             patch.lu           patch.area         pop_100m      
##  Length:29          Length:29          Min.   :    624   Min.   :  0.000  
##  Class :character   Class :character   1st Qu.:  22108   1st Qu.:  3.397  
##  Mode  :character   Mode  :character   Median : 332616   Median : 41.952  
##                                        Mean   :1101702   Mean   : 69.344  
##                                        3rd Qu.: 700877   3rd Qu.:118.731  
##                                        Max.   :6995421   Max.   :289.615  
##  distance_water    impervious_surface     light            noise      
##  Min.   :  89.62   Min.   : 0.000     Min.   : 97.91   Min.   :22.78  
##  1st Qu.: 308.95   1st Qu.: 7.315     1st Qu.:238.81   1st Qu.:50.24  
##  Median : 581.60   Median :48.086     Median :253.54   Median :55.76  
##  Mean   : 676.67   Mean   :45.063     Mean   :234.06   Mean   :52.80  
##  3rd Qu.: 894.21   3rd Qu.:69.303     3rd Qu.:254.46   3rd Qu.:60.28  
##  Max.   :1616.58   Max.   :89.406     Max.   :255.00   Max.   :65.45  
##    open_green       temp_cooldown        temp_day       temp_night   
##  Min.   :0.000000   Min.   :-0.9972   Min.   :19.27   Min.   :10.85  
##  1st Qu.:0.004748   1st Qu.:-0.7463   1st Qu.:21.75   1st Qu.:12.71  
##  Median :0.062367   Median :-0.5619   Median :24.36   Median :13.72  
##  Mean   :0.153202   Mean   :-0.6014   Mean   :24.53   Mean   :14.08  
##  3rd Qu.:0.147960   3rd Qu.:-0.4798   3rd Qu.:27.12   3rd Qu.:14.75  
##  Max.   :0.998552   Max.   :-0.3755   Max.   :30.94   Max.   :17.48  
##    tree_cover     
##  Min.   : 0.1246  
##  1st Qu.:14.9442  
##  Median :24.7570  
##  Mean   :30.7382  
##  3rd Qu.:37.6015  
##  Max.   :79.3415

We are going to use three variables to define the ubanization gradient: tree cover, imperviousness and noise.

Prepare the data for the model

colnames(env_cov)
##  [1] "site"               "patch.lu"           "patch.area"        
##  [4] "pop_100m"           "distance_water"     "impervious_surface"
##  [7] "light"              "noise"              "open_green"        
## [10] "temp_cooldown"      "temp_day"           "temp_night"        
## [13] "tree_cover"
# Put all data together: add environmental variables to birds data
#my_model_data <- left_join(birds_est_sprich, env_cov, by = "site")
my_model_data <- merge(birds_est_sprich,env_cov,by = "site")

#select response and explanatory variables
#my_model_data <- dplyr::select(my_model_data, 
#                               c(site, sp_rich, tree_cover, impervious_surface, noise))

my_model_data <- my_model_data[, c('site', 'sp_rich', 'tree_cover', 
                                   'impervious_surface', 'noise')]

str(my_model_data) # do you also have a chr for sp_rich?
## 'data.frame':    29 obs. of  5 variables:
##  $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
##  $ sp_rich           : chr  "15.4530328501637" "29.9916380379789" "21.4779853454816" "40.5549538797391" ...
##  $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
##  $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
##  $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...
my_model_data$sp_rich <- as.numeric(my_model_data$sp_rich)
str(my_model_data)
## 'data.frame':    29 obs. of  5 variables:
##  $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
##  $ sp_rich           : num  15.5 30 21.5 40.6 43.5 ...
##  $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
##  $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
##  $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...

Define the model

# explore relationships between variables
ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)) +
  geom_point() +
  geom_smooth()

ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
  geom_point() +
  geom_smooth()

ggplot(my_model_data, aes(y = sp_rich, x = noise)) +
  geom_point() +
  geom_smooth()

# build linear regression model
birds_model <- glm(sp_rich ~ tree_cover + impervious_surface + noise,
                    family = "gaussian", 
                    data = my_model_data)

# View results of the model
summary(birds_model)
## 
## Call:
## glm(formula = sp_rich ~ tree_cover + impervious_surface + noise, 
##     family = "gaussian", data = my_model_data)
## 
## Coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        38.50520   10.13065   3.801 0.000825 ***
## tree_cover         -0.04464    0.08261  -0.540 0.593673    
## impervious_surface -0.19014    0.05585  -3.405 0.002240 ** 
## noise               0.02430    0.16490   0.147 0.884030    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 43.14488)
## 
##     Null deviance: 1882.4  on 28  degrees of freedom
## Residual deviance: 1078.6  on 25  degrees of freedom
## AIC: 197.17
## 
## Number of Fisher Scoring iterations: 2
plot(birds_model)

# bird diversity decreases with increasing urbanisation


# view the regression line through impervious surface only:
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
  geom_point(size=7,alpha=0.5) +
  geom_smooth(method = "lm", se = TRUE, col='red') +
  xlab('impervious surface')

PREDICT the model in Berlin

Load environmental rasters

##
## set working directory for maps, e.g. here geoTiffs ##
tree_raster   <- rast(here::here("data","data_berlin","geo_raster_current_gtif","tree_cover_density_2012_100m_3035.tif"))
imperv_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","imperviousness_2012_100m_3035.tif"))
noise_raster  <- rast(here::here("data","data_berlin","geo_raster_current_gtif","noise_daynight_2017_100m_3035.tif"))
water_raster  <- rast(here::here("data","data_berlin","geo_raster_current_gtif","water_bodies_2010_100m_3035.tif"))

#put all environmental rasters together for the prediction
#many_rasters <- list(x,x)

## this works
my_env_stack <- rast(list(tree_raster, imperv_raster, noise_raster))

# the raster the same name as the variables in the model
names(my_env_stack) <- c("tree_cover", "impervious_surface", "noise")


# the model is fitted with environmental predictor values between 0 and 100
# e.g. tree cover = 88.5 % in a 100*100 m cell
# check: my_model_data
# However, our rasters do not contain decimals (for PC storage and memory reasons)
# so we need to transform them to decimals before we predict our model
# to the whole of Berlin:

my_env_stack_2 <- my_env_stack/100 # correct values of the rasters

Predict the model

sp_rich_pred <- terra::predict(object = my_env_stack_2, 
                                model = birds_model)
sp_rich_pred
## class       : SpatRaster 
## dimensions  : 570, 657, 1  (nrow, ncol, nlyr)
## resolution  : 100, 100  (x, y)
## extent      : 4521040, 4586740, 3243800, 3300800  (xmin, xmax, ymin, ymax)
## coord. ref. : +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs 
## source(s)   : memory
## name        :     lyr1 
## min value   : 16.45406 
## max value   : 40.44094
sp_rich_pred[sp_rich_pred < 0] <- 0 # Abundance cannot be < 0

# define colors
my_palette <- c("#440154FF", "#2D708EFF", "#56C667FF", "#DCE318FF", "#FDE725FF")

# plot map
plot(sp_rich_pred, col = my_palette, breaks = c(seq(5, 55, by = 10)))
plot(water_raster, col = "darkslategray1",  legend=FALSE, add = TRUE)

# writeRaster(sp_rich_pred, my_output_directory)

EXTRA INFO

In iNEXT package also calculates asymptotic diversity metrics. The estimated asymptotes area calculated via the functions

  • ChaoRichness() for q = 0
  • ChaoShannon() for q = 1
  • EstSimpson() for q = 2

For example, to estimate the species richness

ChaoRichness(spider, datatype = "abundance")
##         Observed Estimator Est_s.e. 95% Lower 95% Upper
## Girdled       26    43.893   14.306    30.511    96.971
## Logged        37    61.403   18.532    43.502   128.583

Exercise

Some exercises.

###
## Diversity Analysis Exercise

# 1. Load the data
## - 1.1. the bird data 'birds_berlin_exercise_planillo2021.csv' and explore it (use head(), str())
## - 1.2. the environmental data 'birds_transects_allenvir_100m.csv' and explore it  

# 2. Estimate alpha diversity:
## - 2.1. Choose the diversity index: q = 1 or q = 2
## - 2.2. Rarefy the samples to the appropriate size and estimate the rarefied values

# 3. Predict Hill number 1 or 2 in Berlin
## - 3.1. Choose environmental variables (up to 3) 
## - 3.2. Run model with the diversity values and the environmental variables
## - 3.3. Plot the predictions

#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#
#### for those who like challenges
# 4. Estimate beta diversity:
## 4.1. Jaccard dissimilarity (for each pair of sites)
## 4.2. Bray-Curtis dissimilarity (for each pair of sites) 
## 4.3. Compare the output of both beta-diversity metrics



Session Info
Sys.time()
## [1] "2023-12-12 14:42:36 CET"
#git2r::repository() ## uncomment if you are using GitHub
sessionInfo()
## R version 4.3.2 (2023-10-31 ucrt)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 19044)
## 
## Matrix products: default
## 
## 
## locale:
## [1] LC_COLLATE=German_Germany.utf8  LC_CTYPE=German_Germany.utf8   
## [3] LC_MONETARY=German_Germany.utf8 LC_NUMERIC=C                   
## [5] LC_TIME=C                      
## 
## time zone: Europe/Berlin
## tzcode source: internal
## 
## attached base packages:
## [1] stats4    stats     graphics  grDevices utils     datasets  methods  
## [8] base     
## 
## other attached packages:
##  [1] paletteer_1.5.0 scico_1.5.0     here_1.0.1      terra_1.7-55   
##  [5] lubridate_1.9.3 forcats_1.0.0   stringr_1.5.1   dplyr_1.1.4    
##  [9] purrr_1.0.2     readr_2.1.4     tidyr_1.3.0     tibble_3.2.1   
## [13] ggplot2_3.4.4   tidyverse_2.0.0 sads_0.4.2      bbmle_1.0.25   
## [17] iNEXT_3.0.0     vegan_2.6-4     lattice_0.21-9  permute_0.9-7  
## [21] knitr_1.45     
## 
## loaded via a namespace (and not attached):
##  [1] gtable_0.3.4        xfun_0.41           bslib_0.6.0        
##  [4] tzdb_0.4.0          numDeriv_2016.8-1.1 vctrs_0.6.4        
##  [7] tools_4.3.2         generics_0.1.3      parallel_4.3.2     
## [10] fansi_1.0.5         highr_0.10          cluster_2.1.4      
## [13] pkgconfig_2.0.3     Matrix_1.6-1.1      lifecycle_1.0.4    
## [16] farver_2.1.1        compiler_4.3.2      textshaping_0.3.7  
## [19] munsell_0.5.0       codetools_0.2-19    GUILDS_1.4.6       
## [22] htmltools_0.5.7     sass_0.4.7          yaml_2.3.7         
## [25] crayon_1.5.2        pillar_1.9.0        jquerylib_0.1.4    
## [28] MASS_7.3-60         poilog_0.4.2        cachem_1.0.8       
## [31] nlme_3.1-163        tidyselect_1.2.0    bdsmatrix_1.3-6    
## [34] digest_0.6.33       mvtnorm_1.2-4       stringi_1.8.2      
## [37] rematch2_2.1.2      reshape2_1.4.4      bookdown_0.36      
## [40] labeling_0.4.3      rmdformats_1.0.4    splines_4.3.2      
## [43] rprojroot_2.0.4     fastmap_1.1.1       grid_4.3.2         
## [46] colorspace_2.1-0    cli_3.6.1           magrittr_2.0.3     
## [49] utf8_1.2.4          withr_2.5.2         scales_1.3.0       
## [52] timechange_0.2.0    rmarkdown_2.25      ragg_1.2.6         
## [55] hms_1.1.3           VGAM_1.1-9          evaluate_0.23      
## [58] mgcv_1.9-0          rlang_1.1.2         Rcpp_1.0.11        
## [61] glue_1.6.2          rstudioapi_0.15.0   jsonlite_1.8.7     
## [64] R6_2.5.1            plyr_1.8.9          prismatic_1.1.1    
## [67] systemfonts_1.0.5